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Finding the Fourth Proportional to 8,218.80, 11,342.16 and 5,031.72

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Solution

The fourth proportional to 8,218.80, 11,342.16 and 5,031.72 is: 6,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218.80 : 11,342.16 = 5,031.72 : x
  2. Step 2: Convert to fraction form
    8,218.80/11,342.16 = 5,031.72/x
  3. Step 3: Cross multiply
    8,218.80x = 11,342.16 × 5,031.72
  4. Step 4: Simplify right side
    8,218.80x = 57,070,573.32
  5. Step 5: Solve for x
    x = 57,070,573.32/8,218.80
  6. Step 6: Final answer
    x = 6,943.91

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