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Finding the Fourth Proportional to 7,961.76, 10,978.38 and 5,444.28

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Solution

The fourth proportional to 7,961.76, 10,978.38 and 5,444.28 is: 7,507.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.76 : 10,978.38 = 5,444.28 : x
  2. Step 2: Convert to fraction form
    7,961.76/10,978.38 = 5,444.28/x
  3. Step 3: Cross multiply
    7,961.76x = 10,978.38 × 5,444.28
  4. Step 4: Simplify right side
    7,961.76x = 59,769,374.67
  5. Step 5: Solve for x
    x = 59,769,374.67/7,961.76
  6. Step 6: Final answer
    x = 7,507.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.