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Finding the Fourth Proportional to 7,767.86, 11,651.31 and 3,150.74

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Solution

The fourth proportional to 7,767.86, 11,651.31 and 3,150.74 is: 4,725.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.86 : 11,651.31 = 3,150.74 : x
  2. Step 2: Convert to fraction form
    7,767.86/11,651.31 = 3,150.74/x
  3. Step 3: Cross multiply
    7,767.86x = 11,651.31 × 3,150.74
  4. Step 4: Simplify right side
    7,767.86x = 36,710,248.47
  5. Step 5: Solve for x
    x = 36,710,248.47/7,767.86
  6. Step 6: Final answer
    x = 4,725.92

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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.