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Finding the Fourth Proportional to 10,462.66, 14,449.80 and 6,493.24

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Solution

The fourth proportional to 10,462.66, 14,449.80 and 6,493.24 is: 8,967.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.66 : 14,449.80 = 6,493.24 : x
  2. Step 2: Convert to fraction form
    10,462.66/14,449.80 = 6,493.24/x
  3. Step 3: Cross multiply
    10,462.66x = 14,449.80 × 6,493.24
  4. Step 4: Simplify right side
    10,462.66x = 93,826,019.35
  5. Step 5: Solve for x
    x = 93,826,019.35/10,462.66
  6. Step 6: Final answer
    x = 8,967.70

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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.