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Finding the Fourth Proportional to 7,660.89, 10,576.06 and 5,156.17

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Solution

The fourth proportional to 7,660.89, 10,576.06 and 5,156.17 is: 7,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,660.89 : 10,576.06 = 5,156.17 : x
  2. Step 2: Convert to fraction form
    7,660.89/10,576.06 = 5,156.17/x
  3. Step 3: Cross multiply
    7,660.89x = 10,576.06 × 5,156.17
  4. Step 4: Simplify right side
    7,660.89x = 54,531,963.29
  5. Step 5: Solve for x
    x = 54,531,963.29/7,660.89
  6. Step 6: Final answer
    x = 7,118.23

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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.