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Finding the Fourth Proportional to 7,820.42, 10,806.17 and 6,261.38

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Solution

The fourth proportional to 7,820.42, 10,806.17 and 6,261.38 is: 8,651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,820.42 : 10,806.17 = 6,261.38 : x
  2. Step 2: Convert to fraction form
    7,820.42/10,806.17 = 6,261.38/x
  3. Step 3: Cross multiply
    7,820.42x = 10,806.17 × 6,261.38
  4. Step 4: Simplify right side
    7,820.42x = 67,661,536.71
  5. Step 5: Solve for x
    x = 67,661,536.71/7,820.42
  6. Step 6: Final answer
    x = 8,651.91

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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.