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Finding the Fourth Proportional to 10,854.68, 16,282.77 and 4,613.98

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Solution

The fourth proportional to 10,854.68, 16,282.77 and 4,613.98 is: 6,921.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.68 : 16,282.77 = 4,613.98 : x
  2. Step 2: Convert to fraction form
    10,854.68/16,282.77 = 4,613.98/x
  3. Step 3: Cross multiply
    10,854.68x = 16,282.77 × 4,613.98
  4. Step 4: Simplify right side
    10,854.68x = 75,128,373.60
  5. Step 5: Solve for x
    x = 75,128,373.60/10,854.68
  6. Step 6: Final answer
    x = 6,921.29

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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.