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Finding the Fourth Proportional to 11,288, 15,576.96 and 6,252.20

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Solution

The fourth proportional to 11,288, 15,576.96 and 6,252.20 is: 8,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,288 : 15,576.96 = 6,252.20 : x
  2. Step 2: Convert to fraction form
    11,288/15,576.96 = 6,252.20/x
  3. Step 3: Cross multiply
    11,288x = 15,576.96 × 6,252.20
  4. Step 4: Simplify right side
    11,288x = 97,390,269.31
  5. Step 5: Solve for x
    x = 97,390,269.31/11,288
  6. Step 6: Final answer
    x = 8,627.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.