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Finding the Fourth Proportional to 11,491.79, 15,858.65 and 6,456.15

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Solution

The fourth proportional to 11,491.79, 15,858.65 and 6,456.15 is: 8,909.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.79 : 15,858.65 = 6,456.15 : x
  2. Step 2: Convert to fraction form
    11,491.79/15,858.65 = 6,456.15/x
  3. Step 3: Cross multiply
    11,491.79x = 15,858.65 × 6,456.15
  4. Step 4: Simplify right side
    11,491.79x = 102,385,839.34
  5. Step 5: Solve for x
    x = 102,385,839.34/11,491.79
  6. Step 6: Final answer
    x = 8,909.48

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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.