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Finding the Fourth Proportional to 10,348.20, 15,522.30 and 7,756.20

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Solution

The fourth proportional to 10,348.20, 15,522.30 and 7,756.20 is: 11,634.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.20 : 15,522.30 = 7,756.20 : x
  2. Step 2: Convert to fraction form
    10,348.20/15,522.30 = 7,756.20/x
  3. Step 3: Cross multiply
    10,348.20x = 15,522.30 × 7,756.20
  4. Step 4: Simplify right side
    10,348.20x = 120,394,063.26
  5. Step 5: Solve for x
    x = 120,394,063.26/10,348.20
  6. Step 6: Final answer
    x = 11,634.30

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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.