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Finding the Fourth Proportional to 7,610.29, 10,461.87 and 6,544.15

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Solution

The fourth proportional to 7,610.29, 10,461.87 and 6,544.15 is: 8,996.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.29 : 10,461.87 = 6,544.15 : x
  2. Step 2: Convert to fraction form
    7,610.29/10,461.87 = 6,544.15/x
  3. Step 3: Cross multiply
    7,610.29x = 10,461.87 × 6,544.15
  4. Step 4: Simplify right side
    7,610.29x = 68,464,020.41
  5. Step 5: Solve for x
    x = 68,464,020.41/7,610.29
  6. Step 6: Final answer
    x = 8,996.25

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.