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Finding the Fourth Proportional to 11,399.76, 15,729.39 and 6,363.18

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Solution

The fourth proportional to 11,399.76, 15,729.39 and 6,363.18 is: 8,779.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.76 : 15,729.39 = 6,363.18 : x
  2. Step 2: Convert to fraction form
    11,399.76/15,729.39 = 6,363.18/x
  3. Step 3: Cross multiply
    11,399.76x = 15,729.39 × 6,363.18
  4. Step 4: Simplify right side
    11,399.76x = 100,088,984.10
  5. Step 5: Solve for x
    x = 100,088,984.10/11,399.76
  6. Step 6: Final answer
    x = 8,779.92

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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.