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Finding the Fourth Proportional to 10,249.32, 15,374 and 3,675.92

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Solution

The fourth proportional to 10,249.32, 15,374 and 3,675.92 is: 5,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,249.32 : 15,374 = 3,675.92 : x
  2. Step 2: Convert to fraction form
    10,249.32/15,374 = 3,675.92/x
  3. Step 3: Cross multiply
    10,249.32x = 15,374 × 3,675.92
  4. Step 4: Simplify right side
    10,249.32x = 56,513,594.08
  5. Step 5: Solve for x
    x = 56,513,594.08/10,249.32
  6. Step 6: Final answer
    x = 5,513.89

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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.