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Finding the Fourth Proportional to 10,364.66, 15,549.77 and 5,432.97

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Solution

The fourth proportional to 10,364.66, 15,549.77 and 5,432.97 is: 8,150.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,364.66 : 15,549.77 = 5,432.97 : x
  2. Step 2: Convert to fraction form
    10,364.66/15,549.77 = 5,432.97/x
  3. Step 3: Cross multiply
    10,364.66x = 15,549.77 × 5,432.97
  4. Step 4: Simplify right side
    10,364.66x = 84,481,505.81
  5. Step 5: Solve for x
    x = 84,481,505.81/10,364.66
  6. Step 6: Final answer
    x = 8,150.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.