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Finding the Fourth Proportional to 10,296.86, 14,209.28 and 5,581.04

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Solution

The fourth proportional to 10,296.86, 14,209.28 and 5,581.04 is: 7,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.86 : 14,209.28 = 5,581.04 : x
  2. Step 2: Convert to fraction form
    10,296.86/14,209.28 = 5,581.04/x
  3. Step 3: Cross multiply
    10,296.86x = 14,209.28 × 5,581.04
  4. Step 4: Simplify right side
    10,296.86x = 79,302,560.05
  5. Step 5: Solve for x
    x = 79,302,560.05/10,296.86
  6. Step 6: Final answer
    x = 7,701.63

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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.