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Finding the Fourth Proportional to 10,591.97, 14,613.89 and 6,341.36

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Solution

The fourth proportional to 10,591.97, 14,613.89 and 6,341.36 is: 8,749.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,591.97 : 14,613.89 = 6,341.36 : x
  2. Step 2: Convert to fraction form
    10,591.97/14,613.89 = 6,341.36/x
  3. Step 3: Cross multiply
    10,591.97x = 14,613.89 × 6,341.36
  4. Step 4: Simplify right side
    10,591.97x = 92,671,832.71
  5. Step 5: Solve for x
    x = 92,671,832.71/10,591.97
  6. Step 6: Final answer
    x = 8,749.26

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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.