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Finding the Fourth Proportional to 7,959.32, 10,983.30 and 4,422.38

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Solution

The fourth proportional to 7,959.32, 10,983.30 and 4,422.38 is: 6,102.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,959.32 : 10,983.30 = 4,422.38 : x
  2. Step 2: Convert to fraction form
    7,959.32/10,983.30 = 4,422.38/x
  3. Step 3: Cross multiply
    7,959.32x = 10,983.30 × 4,422.38
  4. Step 4: Simplify right side
    7,959.32x = 48,572,326.25
  5. Step 5: Solve for x
    x = 48,572,326.25/7,959.32
  6. Step 6: Final answer
    x = 6,102.57

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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.