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Finding the Fourth Proportional to 10,234.71, 15,349.77 and 3,992.58

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Solution

The fourth proportional to 10,234.71, 15,349.77 and 3,992.58 is: 5,987.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.71 : 15,349.77 = 3,992.58 : x
  2. Step 2: Convert to fraction form
    10,234.71/15,349.77 = 3,992.58/x
  3. Step 3: Cross multiply
    10,234.71x = 15,349.77 × 3,992.58
  4. Step 4: Simplify right side
    10,234.71x = 61,285,184.71
  5. Step 5: Solve for x
    x = 61,285,184.71/10,234.71
  6. Step 6: Final answer
    x = 5,987.97

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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.