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Finding the Fourth Proportional to 7,261.42, 10,034.38 and 5,934.64

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Solution

The fourth proportional to 7,261.42, 10,034.38 and 5,934.64 is: 8,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.42 : 10,034.38 = 5,934.64 : x
  2. Step 2: Convert to fraction form
    7,261.42/10,034.38 = 5,934.64/x
  3. Step 3: Cross multiply
    7,261.42x = 10,034.38 × 5,934.64
  4. Step 4: Simplify right side
    7,261.42x = 59,550,432.92
  5. Step 5: Solve for x
    x = 59,550,432.92/7,261.42
  6. Step 6: Final answer
    x = 8,200.93

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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.