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Finding the Fourth Proportional to 10,706.97, 16,056.45 and 3,685.01

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Solution

The fourth proportional to 10,706.97, 16,056.45 and 3,685.01 is: 5,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,706.97 : 16,056.45 = 3,685.01 : x
  2. Step 2: Convert to fraction form
    10,706.97/16,056.45 = 3,685.01/x
  3. Step 3: Cross multiply
    10,706.97x = 16,056.45 × 3,685.01
  4. Step 4: Simplify right side
    10,706.97x = 59,168,098.53
  5. Step 5: Solve for x
    x = 59,168,098.53/10,706.97
  6. Step 6: Final answer
    x = 5,526.13

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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.