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Finding the Fourth Proportional to 8,258.78, 12,386.76 and 2,711.98

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Solution

The fourth proportional to 8,258.78, 12,386.76 and 2,711.98 is: 4,067.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.78 : 12,386.76 = 2,711.98 : x
  2. Step 2: Convert to fraction form
    8,258.78/12,386.76 = 2,711.98/x
  3. Step 3: Cross multiply
    8,258.78x = 12,386.76 × 2,711.98
  4. Step 4: Simplify right side
    8,258.78x = 33,592,645.38
  5. Step 5: Solve for x
    x = 33,592,645.38/8,258.78
  6. Step 6: Final answer
    x = 4,067.51

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