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Finding the Fourth Proportional to 10,249.16, 14,135.99 and 7,731.68

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Solution

The fourth proportional to 10,249.16, 14,135.99 and 7,731.68 is: 10,663.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.16 : 14,135.99 = 7,731.68 : x
  2. Step 2: Convert to fraction form
    10,249.16/14,135.99 = 7,731.68/x
  3. Step 3: Cross multiply
    10,249.16x = 14,135.99 × 7,731.68
  4. Step 4: Simplify right side
    10,249.16x = 109,294,841.82
  5. Step 5: Solve for x
    x = 109,294,841.82/10,249.16
  6. Step 6: Final answer
    x = 10,663.79

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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.