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Finding the Fourth Proportional to 10,957.86, 16,440.89 and 5,689.58

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Solution

The fourth proportional to 10,957.86, 16,440.89 and 5,689.58 is: 8,536.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.86 : 16,440.89 = 5,689.58 : x
  2. Step 2: Convert to fraction form
    10,957.86/16,440.89 = 5,689.58/x
  3. Step 3: Cross multiply
    10,957.86x = 16,440.89 × 5,689.58
  4. Step 4: Simplify right side
    10,957.86x = 93,541,648.27
  5. Step 5: Solve for x
    x = 93,541,648.27/10,957.86
  6. Step 6: Final answer
    x = 8,536.49

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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.