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Finding the Fourth Proportional to 10,117.44, 15,167.52 and 7,930.44

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Solution

The fourth proportional to 10,117.44, 15,167.52 and 7,930.44 is: 11,888.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,117.44 : 15,167.52 = 7,930.44 : x
  2. Step 2: Convert to fraction form
    10,117.44/15,167.52 = 7,930.44/x
  3. Step 3: Cross multiply
    10,117.44x = 15,167.52 × 7,930.44
  4. Step 4: Simplify right side
    10,117.44x = 120,285,107.31
  5. Step 5: Solve for x
    x = 120,285,107.31/10,117.44
  6. Step 6: Final answer
    x = 11,888.89

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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.