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Finding the Fourth Proportional to 10,728.96, 14,802.91 and 6,251.86

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Solution

The fourth proportional to 10,728.96, 14,802.91 and 6,251.86 is: 8,625.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.96 : 14,802.91 = 6,251.86 : x
  2. Step 2: Convert to fraction form
    10,728.96/14,802.91 = 6,251.86/x
  3. Step 3: Cross multiply
    10,728.96x = 14,802.91 × 6,251.86
  4. Step 4: Simplify right side
    10,728.96x = 92,545,726.11
  5. Step 5: Solve for x
    x = 92,545,726.11/10,728.96
  6. Step 6: Final answer
    x = 8,625.79

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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.