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Finding the Fourth Proportional to 8,718.14, 12,030.13 and 5,180.66

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Solution

The fourth proportional to 8,718.14, 12,030.13 and 5,180.66 is: 7,148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,718.14 : 12,030.13 = 5,180.66 : x
  2. Step 2: Convert to fraction form
    8,718.14/12,030.13 = 5,180.66/x
  3. Step 3: Cross multiply
    8,718.14x = 12,030.13 × 5,180.66
  4. Step 4: Simplify right side
    8,718.14x = 62,323,987.38
  5. Step 5: Solve for x
    x = 62,323,987.38/8,718.14
  6. Step 6: Final answer
    x = 7,148.78

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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.