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Finding the Fourth Proportional to 8,299.04, 12,448.12 and 3,104.52

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Solution

The fourth proportional to 8,299.04, 12,448.12 and 3,104.52 is: 4,656.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.04 : 12,448.12 = 3,104.52 : x
  2. Step 2: Convert to fraction form
    8,299.04/12,448.12 = 3,104.52/x
  3. Step 3: Cross multiply
    8,299.04x = 12,448.12 × 3,104.52
  4. Step 4: Simplify right side
    8,299.04x = 38,645,437.50
  5. Step 5: Solve for x
    x = 38,645,437.50/8,299.04
  6. Step 6: Final answer
    x = 4,656.62

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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.