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Finding the Fourth Proportional to 10,706.31, 16,061.02 and 3,688.07

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Solution

The fourth proportional to 10,706.31, 16,061.02 and 3,688.07 is: 5,532.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.31 : 16,061.02 = 3,688.07 : x
  2. Step 2: Convert to fraction form
    10,706.31/16,061.02 = 3,688.07/x
  3. Step 3: Cross multiply
    10,706.31x = 16,061.02 × 3,688.07
  4. Step 4: Simplify right side
    10,706.31x = 59,234,076.51
  5. Step 5: Solve for x
    x = 59,234,076.51/10,706.31
  6. Step 6: Final answer
    x = 5,532.63

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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.