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Finding the Fourth Proportional to 10,737.83, 16,111.53 and 4,164.53

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Solution

The fourth proportional to 10,737.83, 16,111.53 and 4,164.53 is: 6,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.83 : 16,111.53 = 4,164.53 : x
  2. Step 2: Convert to fraction form
    10,737.83/16,111.53 = 4,164.53/x
  3. Step 3: Cross multiply
    10,737.83x = 16,111.53 × 4,164.53
  4. Step 4: Simplify right side
    10,737.83x = 67,096,869.47
  5. Step 5: Solve for x
    x = 67,096,869.47/10,737.83
  6. Step 6: Final answer
    x = 6,248.65

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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.