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Finding the Fourth Proportional to 7,681.20, 10,609.86 and 5,877.71

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Solution

The fourth proportional to 7,681.20, 10,609.86 and 5,877.71 is: 8,118.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,681.20 : 10,609.86 = 5,877.71 : x
  2. Step 2: Convert to fraction form
    7,681.20/10,609.86 = 5,877.71/x
  3. Step 3: Cross multiply
    7,681.20x = 10,609.86 × 5,877.71
  4. Step 4: Simplify right side
    7,681.20x = 62,361,680.22
  5. Step 5: Solve for x
    x = 62,361,680.22/7,681.20
  6. Step 6: Final answer
    x = 8,118.74

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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.