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Finding the Fourth Proportional to 10,737.69, 14,818.14 and 5,957.73

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Solution

The fourth proportional to 10,737.69, 14,818.14 and 5,957.73 is: 8,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.69 : 14,818.14 = 5,957.73 : x
  2. Step 2: Convert to fraction form
    10,737.69/14,818.14 = 5,957.73/x
  3. Step 3: Cross multiply
    10,737.69x = 14,818.14 × 5,957.73
  4. Step 4: Simplify right side
    10,737.69x = 88,282,477.22
  5. Step 5: Solve for x
    x = 88,282,477.22/10,737.69
  6. Step 6: Final answer
    x = 8,221.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.