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Finding the Fourth Proportional to 10,323, 15,487.20 and 3,397.50

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Solution

The fourth proportional to 10,323, 15,487.20 and 3,397.50 is: 5,097.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,323 : 15,487.20 = 3,397.50 : x
  2. Step 2: Convert to fraction form
    10,323/15,487.20 = 3,397.50/x
  3. Step 3: Cross multiply
    10,323x = 15,487.20 × 3,397.50
  4. Step 4: Simplify right side
    10,323x = 52,617,762
  5. Step 5: Solve for x
    x = 52,617,762/10,323
  6. Step 6: Final answer
    x = 5,097.14

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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.