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Finding the Fourth Proportional to 8,422.74, 12,617.69 and 5,127.66

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Solution

The fourth proportional to 8,422.74, 12,617.69 and 5,127.66 is: 7,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.74 : 12,617.69 = 5,127.66 : x
  2. Step 2: Convert to fraction form
    8,422.74/12,617.69 = 5,127.66/x
  3. Step 3: Cross multiply
    8,422.74x = 12,617.69 × 5,127.66
  4. Step 4: Simplify right side
    8,422.74x = 64,699,135.58
  5. Step 5: Solve for x
    x = 64,699,135.58/8,422.74
  6. Step 6: Final answer
    x = 7,681.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.