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Finding the Fourth Proportional to 7,591.32, 11,357.82 and 4,305.96

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Solution

The fourth proportional to 7,591.32, 11,357.82 and 4,305.96 is: 6,442.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,591.32 : 11,357.82 = 4,305.96 : x
  2. Step 2: Convert to fraction form
    7,591.32/11,357.82 = 4,305.96/x
  3. Step 3: Cross multiply
    7,591.32x = 11,357.82 × 4,305.96
  4. Step 4: Simplify right side
    7,591.32x = 48,906,318.61
  5. Step 5: Solve for x
    x = 48,906,318.61/7,591.32
  6. Step 6: Final answer
    x = 6,442.40

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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.