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Finding the Fourth Proportional to 7,747.59, 10,691.69 and 4,210.80

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Solution

The fourth proportional to 7,747.59, 10,691.69 and 4,210.80 is: 5,810.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,747.59 : 10,691.69 = 4,210.80 : x
  2. Step 2: Convert to fraction form
    7,747.59/10,691.69 = 4,210.80/x
  3. Step 3: Cross multiply
    7,747.59x = 10,691.69 × 4,210.80
  4. Step 4: Simplify right side
    7,747.59x = 45,020,568.25
  5. Step 5: Solve for x
    x = 45,020,568.25/7,747.59
  6. Step 6: Final answer
    x = 5,810.91

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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.