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Finding the Fourth Proportional to 7,502.22, 10,342.08 and 5,257.31

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Solution

The fourth proportional to 7,502.22, 10,342.08 and 5,257.31 is: 7,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,502.22 : 10,342.08 = 5,257.31 : x
  2. Step 2: Convert to fraction form
    7,502.22/10,342.08 = 5,257.31/x
  3. Step 3: Cross multiply
    7,502.22x = 10,342.08 × 5,257.31
  4. Step 4: Simplify right side
    7,502.22x = 54,371,468.89
  5. Step 5: Solve for x
    x = 54,371,468.89/7,502.22
  6. Step 6: Final answer
    x = 7,247.38

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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.