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Finding the Fourth Proportional to 10,296.74, 15,443.06 and 6,081.57

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Solution

The fourth proportional to 10,296.74, 15,443.06 and 6,081.57 is: 9,121.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,296.74 : 15,443.06 = 6,081.57 : x
  2. Step 2: Convert to fraction form
    10,296.74/15,443.06 = 6,081.57/x
  3. Step 3: Cross multiply
    10,296.74x = 15,443.06 × 6,081.57
  4. Step 4: Simplify right side
    10,296.74x = 93,918,020.00
  5. Step 5: Solve for x
    x = 93,918,020.00/10,296.74
  6. Step 6: Final answer
    x = 9,121.14

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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.