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Finding the Fourth Proportional to 8,098.32, 12,153.40 and 5,183.76

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Solution

The fourth proportional to 8,098.32, 12,153.40 and 5,183.76 is: 7,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.32 : 12,153.40 = 5,183.76 : x
  2. Step 2: Convert to fraction form
    8,098.32/12,153.40 = 5,183.76/x
  3. Step 3: Cross multiply
    8,098.32x = 12,153.40 × 5,183.76
  4. Step 4: Simplify right side
    8,098.32x = 63,000,308.78
  5. Step 5: Solve for x
    x = 63,000,308.78/8,098.32
  6. Step 6: Final answer
    x = 7,779.43

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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.