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Finding the Fourth Proportional to 8,296.42, 12,442.66 and 2,373.12

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Solution

The fourth proportional to 8,296.42, 12,442.66 and 2,373.12 is: 3,559.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.42 : 12,442.66 = 2,373.12 : x
  2. Step 2: Convert to fraction form
    8,296.42/12,442.66 = 2,373.12/x
  3. Step 3: Cross multiply
    8,296.42x = 12,442.66 × 2,373.12
  4. Step 4: Simplify right side
    8,296.42x = 29,527,967.71
  5. Step 5: Solve for x
    x = 29,527,967.71/8,296.42
  6. Step 6: Final answer
    x = 3,559.12

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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.