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Finding the Fourth Proportional to 7,689.58, 10,607.68 and 5,171.96

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Solution

The fourth proportional to 7,689.58, 10,607.68 and 5,171.96 is: 7,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.58 : 10,607.68 = 5,171.96 : x
  2. Step 2: Convert to fraction form
    7,689.58/10,607.68 = 5,171.96/x
  3. Step 3: Cross multiply
    7,689.58x = 10,607.68 × 5,171.96
  4. Step 4: Simplify right side
    7,689.58x = 54,862,496.65
  5. Step 5: Solve for x
    x = 54,862,496.65/7,689.58
  6. Step 6: Final answer
    x = 7,134.65

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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.