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Finding the Fourth Proportional to 7,291.64, 10,062.48 and 4,147.88

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Solution

The fourth proportional to 7,291.64, 10,062.48 and 4,147.88 is: 5,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,291.64 : 10,062.48 = 4,147.88 : x
  2. Step 2: Convert to fraction form
    7,291.64/10,062.48 = 4,147.88/x
  3. Step 3: Cross multiply
    7,291.64x = 10,062.48 × 4,147.88
  4. Step 4: Simplify right side
    7,291.64x = 41,737,959.54
  5. Step 5: Solve for x
    x = 41,737,959.54/7,291.64
  6. Step 6: Final answer
    x = 5,724.08

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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.