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Finding the Fourth Proportional to 10,877.72, 16,281.28 and 5,873.14

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Solution

The fourth proportional to 10,877.72, 16,281.28 and 5,873.14 is: 8,790.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.72 : 16,281.28 = 5,873.14 : x
  2. Step 2: Convert to fraction form
    10,877.72/16,281.28 = 5,873.14/x
  3. Step 3: Cross multiply
    10,877.72x = 16,281.28 × 5,873.14
  4. Step 4: Simplify right side
    10,877.72x = 95,622,126.05
  5. Step 5: Solve for x
    x = 95,622,126.05/10,877.72
  6. Step 6: Final answer
    x = 8,790.64

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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.