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Finding the Fourth Proportional to 7,648,903.80, 11,473,355.70 and 2,257,730.10

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Solution

The fourth proportional to 7,648,903.80, 11,473,355.70 and 2,257,730.10 is: 3,386,595.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648,903.80 : 11,473,355.70 = 2,257,730.10 : x
  2. Step 2: Convert to fraction form
    7,648,903.80/11,473,355.70 = 2,257,730.10/x
  3. Step 3: Cross multiply
    7,648,903.80x = 11,473,355.70 × 2,257,730.10
  4. Step 4: Simplify right side
    7,648,903.80x = 25,903,740,511,896.57
  5. Step 5: Solve for x
    x = 25,903,740,511,896.57/7,648,903.80
  6. Step 6: Final answer
    x = 3,386,595.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.