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Finding the Fourth Proportional to 10,449.86, 14,439.87 and 7,612.28

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Solution

The fourth proportional to 10,449.86, 14,439.87 and 7,612.28 is: 10,518.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,449.86 : 14,439.87 = 7,612.28 : x
  2. Step 2: Convert to fraction form
    10,449.86/14,439.87 = 7,612.28/x
  3. Step 3: Cross multiply
    10,449.86x = 14,439.87 × 7,612.28
  4. Step 4: Simplify right side
    10,449.86x = 109,920,315.55
  5. Step 5: Solve for x
    x = 109,920,315.55/10,449.86
  6. Step 6: Final answer
    x = 10,518.83

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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.