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Finding the Fourth Proportional to 8,686.33, 11,980.78 and 7,493.61

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Solution

The fourth proportional to 8,686.33, 11,980.78 and 7,493.61 is: 10,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.33 : 11,980.78 = 7,493.61 : x
  2. Step 2: Convert to fraction form
    8,686.33/11,980.78 = 7,493.61/x
  3. Step 3: Cross multiply
    8,686.33x = 11,980.78 × 7,493.61
  4. Step 4: Simplify right side
    8,686.33x = 89,779,292.82
  5. Step 5: Solve for x
    x = 89,779,292.82/8,686.33
  6. Step 6: Final answer
    x = 10,335.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.