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Finding the Fourth Proportional to 10,519.48, 15,781.74 and 7,234.12

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Solution

The fourth proportional to 10,519.48, 15,781.74 and 7,234.12 is: 10,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,519.48 : 15,781.74 = 7,234.12 : x
  2. Step 2: Convert to fraction form
    10,519.48/15,781.74 = 7,234.12/x
  3. Step 3: Cross multiply
    10,519.48x = 15,781.74 × 7,234.12
  4. Step 4: Simplify right side
    10,519.48x = 114,167,000.97
  5. Step 5: Solve for x
    x = 114,167,000.97/10,519.48
  6. Step 6: Final answer
    x = 10,852.91

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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.