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Finding the Fourth Proportional to 10,251.10, 14,116.73 and 8,906.10

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Solution

The fourth proportional to 10,251.10, 14,116.73 and 8,906.10 is: 12,264.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.10 : 14,116.73 = 8,906.10 : x
  2. Step 2: Convert to fraction form
    10,251.10/14,116.73 = 8,906.10/x
  3. Step 3: Cross multiply
    10,251.10x = 14,116.73 × 8,906.10
  4. Step 4: Simplify right side
    10,251.10x = 125,724,911.58
  5. Step 5: Solve for x
    x = 125,724,911.58/10,251.10
  6. Step 6: Final answer
    x = 12,264.53

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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.