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Finding the Fourth Proportional to 10,152.16, 15,228.32 and 3,576.84

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Solution

The fourth proportional to 10,152.16, 15,228.32 and 3,576.84 is: 5,365.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152.16 : 15,228.32 = 3,576.84 : x
  2. Step 2: Convert to fraction form
    10,152.16/15,228.32 = 3,576.84/x
  3. Step 3: Cross multiply
    10,152.16x = 15,228.32 × 3,576.84
  4. Step 4: Simplify right side
    10,152.16x = 54,469,264.11
  5. Step 5: Solve for x
    x = 54,469,264.11/10,152.16
  6. Step 6: Final answer
    x = 5,365.29

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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.