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Finding the Fourth Proportional to 7,355.80, 11,033.70 and 4,731.40

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Solution

The fourth proportional to 7,355.80, 11,033.70 and 4,731.40 is: 7,097.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,355.80 : 11,033.70 = 4,731.40 : x
  2. Step 2: Convert to fraction form
    7,355.80/11,033.70 = 4,731.40/x
  3. Step 3: Cross multiply
    7,355.80x = 11,033.70 × 4,731.40
  4. Step 4: Simplify right side
    7,355.80x = 52,204,848.18
  5. Step 5: Solve for x
    x = 52,204,848.18/7,355.80
  6. Step 6: Final answer
    x = 7,097.10

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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.