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Finding the Fourth Proportional to 7,432.31, 10,248.93 and 5,193.37

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Solution

The fourth proportional to 7,432.31, 10,248.93 and 5,193.37 is: 7,161.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,432.31 : 10,248.93 = 5,193.37 : x
  2. Step 2: Convert to fraction form
    7,432.31/10,248.93 = 5,193.37/x
  3. Step 3: Cross multiply
    7,432.31x = 10,248.93 × 5,193.37
  4. Step 4: Simplify right side
    7,432.31x = 53,226,408.38
  5. Step 5: Solve for x
    x = 53,226,408.38/7,432.31
  6. Step 6: Final answer
    x = 7,161.49

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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.