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Finding the Fourth Proportional to 7,747.68, 10,691.46 and 4,210.80

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Solution

The fourth proportional to 7,747.68, 10,691.46 and 4,210.80 is: 5,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.68 : 10,691.46 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    7,747.68/10,691.46 = 4,210.80/x
  3. Step 3: Cross multiply
    7,747.68x = 10,691.46 × 4,210.80
  4. Step 4: Simplify right side
    7,747.68x = 45,019,599.77
  5. Step 5: Solve for x
    x = 45,019,599.77/7,747.68
  6. Step 6: Final answer
    x = 5,810.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.