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Finding the Fourth Proportional to 10,256.84, 15,414.11 and 6,097.59

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Solution

The fourth proportional to 10,256.84, 15,414.11 and 6,097.59 is: 9,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.84 : 15,414.11 = 6,097.59 : x
  2. Step 2: Convert to fraction form
    10,256.84/15,414.11 = 6,097.59/x
  3. Step 3: Cross multiply
    10,256.84x = 15,414.11 × 6,097.59
  4. Step 4: Simplify right side
    10,256.84x = 93,988,815.44
  5. Step 5: Solve for x
    x = 93,988,815.44/10,256.84
  6. Step 6: Final answer
    x = 9,163.53

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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.