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Finding the Fourth Proportional to 10,152.52, 15,228.72 and 3,828.58

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Solution

The fourth proportional to 10,152.52, 15,228.72 and 3,828.58 is: 5,742.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.52 : 15,228.72 = 3,828.58 : x
  2. Step 2: Convert to fraction form
    10,152.52/15,228.72 = 3,828.58/x
  3. Step 3: Cross multiply
    10,152.52x = 15,228.72 × 3,828.58
  4. Step 4: Simplify right side
    10,152.52x = 58,304,372.82
  5. Step 5: Solve for x
    x = 58,304,372.82/10,152.52
  6. Step 6: Final answer
    x = 5,742.85

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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.