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Finding the Fourth Proportional to 10,282.71, 15,424.05 and 4,038.36

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Solution

The fourth proportional to 10,282.71, 15,424.05 and 4,038.36 is: 6,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.71 : 15,424.05 = 4,038.36 : x
  2. Step 2: Convert to fraction form
    10,282.71/15,424.05 = 4,038.36/x
  3. Step 3: Cross multiply
    10,282.71x = 15,424.05 × 4,038.36
  4. Step 4: Simplify right side
    10,282.71x = 62,287,866.56
  5. Step 5: Solve for x
    x = 62,287,866.56/10,282.71
  6. Step 6: Final answer
    x = 6,057.53

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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.