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Finding the Fourth Proportional to 8,311.36, 12,460.89 and 5,023.72

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Solution

The fourth proportional to 8,311.36, 12,460.89 and 5,023.72 is: 7,531.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,311.36 : 12,460.89 = 5,023.72 : x
  2. Step 2: Convert to fraction form
    8,311.36/12,460.89 = 5,023.72/x
  3. Step 3: Cross multiply
    8,311.36x = 12,460.89 × 5,023.72
  4. Step 4: Simplify right side
    8,311.36x = 62,600,028.47
  5. Step 5: Solve for x
    x = 62,600,028.47/8,311.36
  6. Step 6: Final answer
    x = 7,531.86

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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.