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Finding the Fourth Proportional to 7,481.12, 10,323.84 and 4,337.60

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Solution

The fourth proportional to 7,481.12, 10,323.84 and 4,337.60 is: 5,985.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,481.12 : 10,323.84 = 4,337.60 : x
  2. Step 2: Convert to fraction form
    7,481.12/10,323.84 = 4,337.60/x
  3. Step 3: Cross multiply
    7,481.12x = 10,323.84 × 4,337.60
  4. Step 4: Simplify right side
    7,481.12x = 44,780,688.38
  5. Step 5: Solve for x
    x = 44,780,688.38/7,481.12
  6. Step 6: Final answer
    x = 5,985.83

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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.