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Finding the Fourth Proportional to 7,659.24, 10,570.78 and 4,302.38

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Solution

The fourth proportional to 7,659.24, 10,570.78 and 4,302.38 is: 5,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.24 : 10,570.78 = 4,302.38 : x
  2. Step 2: Convert to fraction form
    7,659.24/10,570.78 = 4,302.38/x
  3. Step 3: Cross multiply
    7,659.24x = 10,570.78 × 4,302.38
  4. Step 4: Simplify right side
    7,659.24x = 45,479,512.46
  5. Step 5: Solve for x
    x = 45,479,512.46/7,659.24
  6. Step 6: Final answer
    x = 5,937.86

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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.