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Finding the Fourth Proportional to 7,984.17, 11,978.28 and 2,437.29

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Solution

The fourth proportional to 7,984.17, 11,978.28 and 2,437.29 is: 3,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,984.17 : 11,978.28 = 2,437.29 : x
  2. Step 2: Convert to fraction form
    7,984.17/11,978.28 = 2,437.29/x
  3. Step 3: Cross multiply
    7,984.17x = 11,978.28 × 2,437.29
  4. Step 4: Simplify right side
    7,984.17x = 29,194,542.06
  5. Step 5: Solve for x
    x = 29,194,542.06/7,984.17
  6. Step 6: Final answer
    x = 3,656.55

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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.