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Finding the Fourth Proportional to 7,688.67, 10,610.37 and 4,151.88

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Solution

The fourth proportional to 7,688.67, 10,610.37 and 4,151.88 is: 5,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,688.67 : 10,610.37 = 4,151.88 : x
  2. Step 2: Convert to fraction form
    7,688.67/10,610.37 = 4,151.88/x
  3. Step 3: Cross multiply
    7,688.67x = 10,610.37 × 4,151.88
  4. Step 4: Simplify right side
    7,688.67x = 44,053,001.16
  5. Step 5: Solve for x
    x = 44,053,001.16/7,688.67
  6. Step 6: Final answer
    x = 5,729.60

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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.