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Finding the Fourth Proportional to 10,283.20, 15,428.40 and 5,020.24

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Solution

The fourth proportional to 10,283.20, 15,428.40 and 5,020.24 is: 7,532.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.20 : 15,428.40 = 5,020.24 : x
  2. Step 2: Convert to fraction form
    10,283.20/15,428.40 = 5,020.24/x
  3. Step 3: Cross multiply
    10,283.20x = 15,428.40 × 5,020.24
  4. Step 4: Simplify right side
    10,283.20x = 77,454,270.82
  5. Step 5: Solve for x
    x = 77,454,270.82/10,283.20
  6. Step 6: Final answer
    x = 7,532.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.