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Finding the Fourth Proportional to 10,253.66, 15,381.34 and 7,514.42

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Solution

The fourth proportional to 10,253.66, 15,381.34 and 7,514.42 is: 11,272.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.66 : 15,381.34 = 7,514.42 : x
  2. Step 2: Convert to fraction form
    10,253.66/15,381.34 = 7,514.42/x
  3. Step 3: Cross multiply
    10,253.66x = 15,381.34 × 7,514.42
  4. Step 4: Simplify right side
    10,253.66x = 115,581,848.92
  5. Step 5: Solve for x
    x = 115,581,848.92/10,253.66
  6. Step 6: Final answer
    x = 11,272.25

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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.