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Finding the Fourth Proportional to 11,532.61, 15,914.37 and 6,496.71

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Solution

The fourth proportional to 11,532.61, 15,914.37 and 6,496.71 is: 8,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.61 : 15,914.37 = 6,496.71 : x
  2. Step 2: Convert to fraction form
    11,532.61/15,914.37 = 6,496.71/x
  3. Step 3: Cross multiply
    11,532.61x = 15,914.37 × 6,496.71
  4. Step 4: Simplify right side
    11,532.61x = 103,391,011.41
  5. Step 5: Solve for x
    x = 103,391,011.41/11,532.61
  6. Step 6: Final answer
    x = 8,965.10

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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.