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Finding the Fourth Proportional to 7,560.38, 10,432.19 and 4,203.23

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Solution

The fourth proportional to 7,560.38, 10,432.19 and 4,203.23 is: 5,799.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.38 : 10,432.19 = 4,203.23 : x
  2. Step 2: Convert to fraction form
    7,560.38/10,432.19 = 4,203.23/x
  3. Step 3: Cross multiply
    7,560.38x = 10,432.19 × 4,203.23
  4. Step 4: Simplify right side
    7,560.38x = 43,848,852.32
  5. Step 5: Solve for x
    x = 43,848,852.32/7,560.38
  6. Step 6: Final answer
    x = 5,799.82

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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.