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Finding the Fourth Proportional to 10,931.06, 16,382.07 and 4,353.63

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Solution

The fourth proportional to 10,931.06, 16,382.07 and 4,353.63 is: 6,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,931.06 : 16,382.07 = 4,353.63 : x
  2. Step 2: Convert to fraction form
    10,931.06/16,382.07 = 4,353.63/x
  3. Step 3: Cross multiply
    10,931.06x = 16,382.07 × 4,353.63
  4. Step 4: Simplify right side
    10,931.06x = 71,321,471.41
  5. Step 5: Solve for x
    x = 71,321,471.41/10,931.06
  6. Step 6: Final answer
    x = 6,524.66

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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.