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Finding the Fourth Proportional to 10,114.90, 15,156.97 and 7,159.38

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Solution

The fourth proportional to 10,114.90, 15,156.97 and 7,159.38 is: 10,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.90 : 15,156.97 = 7,159.38 : x
  2. Step 2: Convert to fraction form
    10,114.90/15,156.97 = 7,159.38/x
  3. Step 3: Cross multiply
    10,114.90x = 15,156.97 × 7,159.38
  4. Step 4: Simplify right side
    10,114.90x = 108,514,507.88
  5. Step 5: Solve for x
    x = 108,514,507.88/10,114.90
  6. Step 6: Final answer
    x = 10,728.18

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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.