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Finding the Fourth Proportional to 10,888, 16,282.16 and 8,116.56

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Solution

The fourth proportional to 10,888, 16,282.16 and 8,116.56 is: 12,137.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888 : 16,282.16 = 8,116.56 : x
  2. Step 2: Convert to fraction form
    10,888/16,282.16 = 8,116.56/x
  3. Step 3: Cross multiply
    10,888x = 16,282.16 × 8,116.56
  4. Step 4: Simplify right side
    10,888x = 132,155,128.57
  5. Step 5: Solve for x
    x = 132,155,128.57/10,888
  6. Step 6: Final answer
    x = 12,137.69

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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.