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Finding the Fourth Proportional to 10,072.74, 15,085.93 and 8,651.19

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Solution

The fourth proportional to 10,072.74, 15,085.93 and 8,651.19 is: 12,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.74 : 15,085.93 = 8,651.19 : x
  2. Step 2: Convert to fraction form
    10,072.74/15,085.93 = 8,651.19/x
  3. Step 3: Cross multiply
    10,072.74x = 15,085.93 × 8,651.19
  4. Step 4: Simplify right side
    10,072.74x = 130,511,246.76
  5. Step 5: Solve for x
    x = 130,511,246.76/10,072.74
  6. Step 6: Final answer
    x = 12,956.88

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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.