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Finding the Fourth Proportional to 10,034.53, 15,046.32 and 7,967.81

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Solution

The fourth proportional to 10,034.53, 15,046.32 and 7,967.81 is: 11,947.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.53 : 15,046.32 = 7,967.81 : x
  2. Step 2: Convert to fraction form
    10,034.53/15,046.32 = 7,967.81/x
  3. Step 3: Cross multiply
    10,034.53x = 15,046.32 × 7,967.81
  4. Step 4: Simplify right side
    10,034.53x = 119,886,179.12
  5. Step 5: Solve for x
    x = 119,886,179.12/10,034.53
  6. Step 6: Final answer
    x = 11,947.36

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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.