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Finding the Fourth Proportional to 8,377.24, 12,565.87 and 2,533.86

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Solution

The fourth proportional to 8,377.24, 12,565.87 and 2,533.86 is: 3,800.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.24 : 12,565.87 = 2,533.86 : x
  2. Step 2: Convert to fraction form
    8,377.24/12,565.87 = 2,533.86/x
  3. Step 3: Cross multiply
    8,377.24x = 12,565.87 × 2,533.86
  4. Step 4: Simplify right side
    8,377.24x = 31,840,155.36
  5. Step 5: Solve for x
    x = 31,840,155.36/8,377.24
  6. Step 6: Final answer
    x = 3,800.79

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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.