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Finding the Fourth Proportional to 8,906.76, 13,294.35 and 7,856.16

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Solution

The fourth proportional to 8,906.76, 13,294.35 and 7,856.16 is: 11,726.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,906.76 : 13,294.35 = 7,856.16 : x
  2. Step 2: Convert to fraction form
    8,906.76/13,294.35 = 7,856.16/x
  3. Step 3: Cross multiply
    8,906.76x = 13,294.35 × 7,856.16
  4. Step 4: Simplify right side
    8,906.76x = 104,442,540.70
  5. Step 5: Solve for x
    x = 104,442,540.70/8,906.76
  6. Step 6: Final answer
    x = 11,726.21

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.