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Finding the Fourth Proportional to 7,098.32, 10,651.13 and 3,817.82

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Solution

The fourth proportional to 7,098.32, 10,651.13 and 3,817.82 is: 5,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.32 : 10,651.13 = 3,817.82 : x
  2. Step 2: Convert to fraction form
    7,098.32/10,651.13 = 3,817.82/x
  3. Step 3: Cross multiply
    7,098.32x = 10,651.13 × 3,817.82
  4. Step 4: Simplify right side
    7,098.32x = 40,664,024.79
  5. Step 5: Solve for x
    x = 40,664,024.79/7,098.32
  6. Step 6: Final answer
    x = 5,728.69

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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.