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Finding the Fourth Proportional to 10,228.52, 14,114.76 and 5,691.08

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Solution

The fourth proportional to 10,228.52, 14,114.76 and 5,691.08 is: 7,853.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.52 : 14,114.76 = 5,691.08 : x
  2. Step 2: Convert to fraction form
    10,228.52/14,114.76 = 5,691.08/x
  3. Step 3: Cross multiply
    10,228.52x = 14,114.76 × 5,691.08
  4. Step 4: Simplify right side
    10,228.52x = 80,328,242.29
  5. Step 5: Solve for x
    x = 80,328,242.29/10,228.52
  6. Step 6: Final answer
    x = 7,853.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.