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Finding the Fourth Proportional to 10,824.75, 16,237.14 and 2,616.75

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Solution

The fourth proportional to 10,824.75, 16,237.14 and 2,616.75 is: 3,925.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824.75 : 16,237.14 = 2,616.75 : x
  2. Step 2: Convert to fraction form
    10,824.75/16,237.14 = 2,616.75/x
  3. Step 3: Cross multiply
    10,824.75x = 16,237.14 × 2,616.75
  4. Step 4: Simplify right side
    10,824.75x = 42,488,536.10
  5. Step 5: Solve for x
    x = 42,488,536.10/10,824.75
  6. Step 6: Final answer
    x = 3,925.13

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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.