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Finding the Fourth Proportional to 10,685.85, 14,736.89 and 8,899.23

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Solution

The fourth proportional to 10,685.85, 14,736.89 and 8,899.23 is: 12,272.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.85 : 14,736.89 = 8,899.23 : x
  2. Step 2: Convert to fraction form
    10,685.85/14,736.89 = 8,899.23/x
  3. Step 3: Cross multiply
    10,685.85x = 14,736.89 × 8,899.23
  4. Step 4: Simplify right side
    10,685.85x = 131,146,929.10
  5. Step 5: Solve for x
    x = 131,146,929.10/10,685.85
  6. Step 6: Final answer
    x = 12,272.95

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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.