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Finding the Fourth Proportional to 10,261.67, 15,392.28 and 2,865.96

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Solution

The fourth proportional to 10,261.67, 15,392.28 and 2,865.96 is: 4,298.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.67 : 15,392.28 = 2,865.96 : x
  2. Step 2: Convert to fraction form
    10,261.67/15,392.28 = 2,865.96/x
  3. Step 3: Cross multiply
    10,261.67x = 15,392.28 × 2,865.96
  4. Step 4: Simplify right side
    10,261.67x = 44,113,644.46
  5. Step 5: Solve for x
    x = 44,113,644.46/10,261.67
  6. Step 6: Final answer
    x = 4,298.88

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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.