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Finding the Fourth Proportional to 10,854.92, 16,281.06 and 4,617.44

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Solution

The fourth proportional to 10,854.92, 16,281.06 and 4,617.44 is: 6,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.92 : 16,281.06 = 4,617.44 : x
  2. Step 2: Convert to fraction form
    10,854.92/16,281.06 = 4,617.44/x
  3. Step 3: Cross multiply
    10,854.92x = 16,281.06 × 4,617.44
  4. Step 4: Simplify right side
    10,854.92x = 75,176,817.69
  5. Step 5: Solve for x
    x = 75,176,817.69/10,854.92
  6. Step 6: Final answer
    x = 6,925.60

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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.