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Finding the Fourth Proportional to 10,224.50, 15,340.35 and 5,034.02

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Solution

The fourth proportional to 10,224.50, 15,340.35 and 5,034.02 is: 7,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,224.50 : 15,340.35 = 5,034.02 : x
  2. Step 2: Convert to fraction form
    10,224.50/15,340.35 = 5,034.02/x
  3. Step 3: Cross multiply
    10,224.50x = 15,340.35 × 5,034.02
  4. Step 4: Simplify right side
    10,224.50x = 77,223,628.71
  5. Step 5: Solve for x
    x = 77,223,628.71/10,224.50
  6. Step 6: Final answer
    x = 7,552.80

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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.