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Finding the Fourth Proportional to 10,280.71, 15,416.25 and 3,706.03

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Solution

The fourth proportional to 10,280.71, 15,416.25 and 3,706.03 is: 5,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,280.71 : 15,416.25 = 3,706.03 : x
  2. Step 2: Convert to fraction form
    10,280.71/15,416.25 = 3,706.03/x
  3. Step 3: Cross multiply
    10,280.71x = 15,416.25 × 3,706.03
  4. Step 4: Simplify right side
    10,280.71x = 57,133,084.99
  5. Step 5: Solve for x
    x = 57,133,084.99/10,280.71
  6. Step 6: Final answer
    x = 5,557.31

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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.