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Finding the Fourth Proportional to 10,263.31, 15,394.94 and 7,926.71

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Solution

The fourth proportional to 10,263.31, 15,394.94 and 7,926.71 is: 11,890.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,263.31 : 15,394.94 = 7,926.71 : x
  2. Step 2: Convert to fraction form
    10,263.31/15,394.94 = 7,926.71/x
  3. Step 3: Cross multiply
    10,263.31x = 15,394.94 × 7,926.71
  4. Step 4: Simplify right side
    10,263.31x = 122,031,224.85
  5. Step 5: Solve for x
    x = 122,031,224.85/10,263.31
  6. Step 6: Final answer
    x = 11,890.05

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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.