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Finding the Fourth Proportional to 7,042.80, 10,567.22 and 3,347.64

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Solution

The fourth proportional to 7,042.80, 10,567.22 and 3,347.64 is: 5,022.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.80 : 10,567.22 = 3,347.64 : x
  2. Step 2: Convert to fraction form
    7,042.80/10,567.22 = 3,347.64/x
  3. Step 3: Cross multiply
    7,042.80x = 10,567.22 × 3,347.64
  4. Step 4: Simplify right side
    7,042.80x = 35,375,248.36
  5. Step 5: Solve for x
    x = 35,375,248.36/7,042.80
  6. Step 6: Final answer
    x = 5,022.90

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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.