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Finding the Fourth Proportional to 7,909.20, 11,864.04 and 2,715

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Solution

The fourth proportional to 7,909.20, 11,864.04 and 2,715 is: 4,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.20 : 11,864.04 = 2,715 : x
  2. Step 2: Convert to fraction form
    7,909.20/11,864.04 = 2,715/x
  3. Step 3: Cross multiply
    7,909.20x = 11,864.04 × 2,715
  4. Step 4: Simplify right side
    7,909.20x = 32,210,868.60
  5. Step 5: Solve for x
    x = 32,210,868.60/7,909.20
  6. Step 6: Final answer
    x = 4,072.58

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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.