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Finding the Fourth Proportional to 10,146.68, 15,213.14 and 3,572

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Solution

The fourth proportional to 10,146.68, 15,213.14 and 3,572 is: 5,355.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,146.68 : 15,213.14 = 3,572 : x
  2. Step 2: Convert to fraction form
    10,146.68/15,213.14 = 3,572/x
  3. Step 3: Cross multiply
    10,146.68x = 15,213.14 × 3,572
  4. Step 4: Simplify right side
    10,146.68x = 54,341,336.08
  5. Step 5: Solve for x
    x = 54,341,336.08/10,146.68
  6. Step 6: Final answer
    x = 5,355.58

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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.