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Finding the Fourth Proportional to 10,854.81, 16,282.84 and 4,191.34

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Solution

The fourth proportional to 10,854.81, 16,282.84 and 4,191.34 is: 6,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,854.81 : 16,282.84 = 4,191.34 : x
  2. Step 2: Convert to fraction form
    10,854.81/16,282.84 = 4,191.34/x
  3. Step 3: Cross multiply
    10,854.81x = 16,282.84 × 4,191.34
  4. Step 4: Simplify right side
    10,854.81x = 68,246,918.61
  5. Step 5: Solve for x
    x = 68,246,918.61/10,854.81
  6. Step 6: Final answer
    x = 6,287.25

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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.