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Finding the Fourth Proportional to 7,652.30, 11,454.59 and 5,892.73

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Solution

The fourth proportional to 7,652.30, 11,454.59 and 5,892.73 is: 8,820.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.30 : 11,454.59 = 5,892.73 : x
  2. Step 2: Convert to fraction form
    7,652.30/11,454.59 = 5,892.73/x
  3. Step 3: Cross multiply
    7,652.30x = 11,454.59 × 5,892.73
  4. Step 4: Simplify right side
    7,652.30x = 67,498,820.86
  5. Step 5: Solve for x
    x = 67,498,820.86/7,652.30
  6. Step 6: Final answer
    x = 8,820.73

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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.