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Finding the Fourth Proportional to 10,228.91, 14,114.13 and 5,752.31

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Solution

The fourth proportional to 10,228.91, 14,114.13 and 5,752.31 is: 7,937.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.91 : 14,114.13 = 5,752.31 : x
  2. Step 2: Convert to fraction form
    10,228.91/14,114.13 = 5,752.31/x
  3. Step 3: Cross multiply
    10,228.91x = 14,114.13 × 5,752.31
  4. Step 4: Simplify right side
    10,228.91x = 81,188,851.14
  5. Step 5: Solve for x
    x = 81,188,851.14/10,228.91
  6. Step 6: Final answer
    x = 7,937.19

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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.