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Finding the Fourth Proportional to 10,002.68, 13,803.07 and 5,526.22

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Solution

The fourth proportional to 10,002.68, 13,803.07 and 5,526.22 is: 7,625.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,002.68 : 13,803.07 = 5,526.22 : x
  2. Step 2: Convert to fraction form
    10,002.68/13,803.07 = 5,526.22/x
  3. Step 3: Cross multiply
    10,002.68x = 13,803.07 × 5,526.22
  4. Step 4: Simplify right side
    10,002.68x = 76,278,704.85
  5. Step 5: Solve for x
    x = 76,278,704.85/10,002.68
  6. Step 6: Final answer
    x = 7,625.83

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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.