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Finding the Fourth Proportional to 7,711.85, 11,565.74 and 2,780.57

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Solution

The fourth proportional to 7,711.85, 11,565.74 and 2,780.57 is: 4,170.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.85 : 11,565.74 = 2,780.57 : x
  2. Step 2: Convert to fraction form
    7,711.85/11,565.74 = 2,780.57/x
  3. Step 3: Cross multiply
    7,711.85x = 11,565.74 × 2,780.57
  4. Step 4: Simplify right side
    7,711.85x = 32,159,298.79
  5. Step 5: Solve for x
    x = 32,159,298.79/7,711.85
  6. Step 6: Final answer
    x = 4,170.12

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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.