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Finding the Fourth Proportional to 10,854.30, 16,275.78 and 5,005.92

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Solution

The fourth proportional to 10,854.30, 16,275.78 and 5,005.92 is: 7,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.30 : 16,275.78 = 5,005.92 : x
  2. Step 2: Convert to fraction form
    10,854.30/16,275.78 = 5,005.92/x
  3. Step 3: Cross multiply
    10,854.30x = 16,275.78 × 5,005.92
  4. Step 4: Simplify right side
    10,854.30x = 81,475,252.62
  5. Step 5: Solve for x
    x = 81,475,252.62/10,854.30
  6. Step 6: Final answer
    x = 7,506.27

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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.