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Finding the Fourth Proportional to 10,251.34, 15,376.94 and 2,855.78

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Solution

The fourth proportional to 10,251.34, 15,376.94 and 2,855.78 is: 4,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251.34 : 15,376.94 = 2,855.78 : x
  2. Step 2: Convert to fraction form
    10,251.34/15,376.94 = 2,855.78/x
  3. Step 3: Cross multiply
    10,251.34x = 15,376.94 × 2,855.78
  4. Step 4: Simplify right side
    10,251.34x = 43,913,157.71
  5. Step 5: Solve for x
    x = 43,913,157.71/10,251.34
  6. Step 6: Final answer
    x = 4,283.65

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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.