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Finding the Fourth Proportional to 7,909.72, 11,857.15 and 2,711.95

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Solution

The fourth proportional to 7,909.72, 11,857.15 and 2,711.95 is: 4,065.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.72 : 11,857.15 = 2,711.95 : x
  2. Step 2: Convert to fraction form
    7,909.72/11,857.15 = 2,711.95/x
  3. Step 3: Cross multiply
    7,909.72x = 11,857.15 × 2,711.95
  4. Step 4: Simplify right side
    7,909.72x = 32,155,971.69
  5. Step 5: Solve for x
    x = 32,155,971.69/7,909.72
  6. Step 6: Final answer
    x = 4,065.38

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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.