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Finding the Fourth Proportional to 7,761.16, 11,643.56 and 2,567

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Solution

The fourth proportional to 7,761.16, 11,643.56 and 2,567 is: 3,851.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.16 : 11,643.56 = 2,567 : x
  2. Step 2: Convert to fraction form
    7,761.16/11,643.56 = 2,567/x
  3. Step 3: Cross multiply
    7,761.16x = 11,643.56 × 2,567
  4. Step 4: Simplify right side
    7,761.16x = 29,889,018.52
  5. Step 5: Solve for x
    x = 29,889,018.52/7,761.16
  6. Step 6: Final answer
    x = 3,851.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.