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Finding the Fourth Proportional to 10,493.59, 14,483.62 and 6,517.71

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Solution

The fourth proportional to 10,493.59, 14,483.62 and 6,517.71 is: 8,995.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.59 : 14,483.62 = 6,517.71 : x
  2. Step 2: Convert to fraction form
    10,493.59/14,483.62 = 6,517.71/x
  3. Step 3: Cross multiply
    10,493.59x = 14,483.62 × 6,517.71
  4. Step 4: Simplify right side
    10,493.59x = 94,400,034.91
  5. Step 5: Solve for x
    x = 94,400,034.91/10,493.59
  6. Step 6: Final answer
    x = 8,995.97

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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.