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Finding the Fourth Proportional to 7,780.68, 11,655.90 and 6,908.04

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Solution

The fourth proportional to 7,780.68, 11,655.90 and 6,908.04 is: 10,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.68 : 11,655.90 = 6,908.04 : x
  2. Step 2: Convert to fraction form
    7,780.68/11,655.90 = 6,908.04/x
  3. Step 3: Cross multiply
    7,780.68x = 11,655.90 × 6,908.04
  4. Step 4: Simplify right side
    7,780.68x = 80,519,423.44
  5. Step 5: Solve for x
    x = 80,519,423.44/7,780.68
  6. Step 6: Final answer
    x = 10,348.64

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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.