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Finding the Fourth Proportional to 7,471.62, 10,288.59 and 7,305.86

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Solution

The fourth proportional to 7,471.62, 10,288.59 and 7,305.86 is: 10,060.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.62 : 10,288.59 = 7,305.86 : x
  2. Step 2: Convert to fraction form
    7,471.62/10,288.59 = 7,305.86/x
  3. Step 3: Cross multiply
    7,471.62x = 10,288.59 × 7,305.86
  4. Step 4: Simplify right side
    7,471.62x = 75,166,961.61
  5. Step 5: Solve for x
    x = 75,166,961.61/7,471.62
  6. Step 6: Final answer
    x = 10,060.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.