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Finding the Fourth Proportional to 8,258.73, 11,381.31 and 8,106.91

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Solution

The fourth proportional to 8,258.73, 11,381.31 and 8,106.91 is: 11,172.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,258.73 : 11,381.31 = 8,106.91 : x
  2. Step 2: Convert to fraction form
    8,258.73/11,381.31 = 8,106.91/x
  3. Step 3: Cross multiply
    8,258.73x = 11,381.31 × 8,106.91
  4. Step 4: Simplify right side
    8,258.73x = 92,267,158.41
  5. Step 5: Solve for x
    x = 92,267,158.41/8,258.73
  6. Step 6: Final answer
    x = 11,172.08

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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.