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Finding the Fourth Proportional to 10,213.32, 15,290.10 and 7,757.76

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Solution

The fourth proportional to 10,213.32, 15,290.10 and 7,757.76 is: 11,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.32 : 15,290.10 = 7,757.76 : x
  2. Step 2: Convert to fraction form
    10,213.32/15,290.10 = 7,757.76/x
  3. Step 3: Cross multiply
    10,213.32x = 15,290.10 × 7,757.76
  4. Step 4: Simplify right side
    10,213.32x = 118,616,926.18
  5. Step 5: Solve for x
    x = 118,616,926.18/10,213.32
  6. Step 6: Final answer
    x = 11,613.94

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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.