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Finding the Fourth Proportional to 7,689.33, 10,607.13 and 5,141.48

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Solution

The fourth proportional to 7,689.33, 10,607.13 and 5,141.48 is: 7,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,689.33 : 10,607.13 = 5,141.48 : x
  2. Step 2: Convert to fraction form
    7,689.33/10,607.13 = 5,141.48/x
  3. Step 3: Cross multiply
    7,689.33x = 10,607.13 × 5,141.48
  4. Step 4: Simplify right side
    7,689.33x = 54,536,293.72
  5. Step 5: Solve for x
    x = 54,536,293.72/7,689.33
  6. Step 6: Final answer
    x = 7,092.46

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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.