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Finding the Fourth Proportional to 10,957.44, 16,429.13 and 6,513.92

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Solution

The fourth proportional to 10,957.44, 16,429.13 and 6,513.92 is: 9,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,957.44 : 16,429.13 = 6,513.92 : x
  2. Step 2: Convert to fraction form
    10,957.44/16,429.13 = 6,513.92/x
  3. Step 3: Cross multiply
    10,957.44x = 16,429.13 × 6,513.92
  4. Step 4: Simplify right side
    10,957.44x = 107,018,009.81
  5. Step 5: Solve for x
    x = 107,018,009.81/10,957.44
  6. Step 6: Final answer
    x = 9,766.70

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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.