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Finding the Fourth Proportional to 7,711.83, 11,565.35 and 2,780.83

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Solution

The fourth proportional to 7,711.83, 11,565.35 and 2,780.83 is: 4,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.83 : 11,565.35 = 2,780.83 : x
  2. Step 2: Convert to fraction form
    7,711.83/11,565.35 = 2,780.83/x
  3. Step 3: Cross multiply
    7,711.83x = 11,565.35 × 2,780.83
  4. Step 4: Simplify right side
    7,711.83x = 32,161,272.24
  5. Step 5: Solve for x
    x = 32,161,272.24/7,711.83
  6. Step 6: Final answer
    x = 4,170.38

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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.