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Finding the Fourth Proportional to 10,442.88, 15,667.21 and 4,822.27

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Solution

The fourth proportional to 10,442.88, 15,667.21 and 4,822.27 is: 7,234.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.88 : 15,667.21 = 4,822.27 : x
  2. Step 2: Convert to fraction form
    10,442.88/15,667.21 = 4,822.27/x
  3. Step 3: Cross multiply
    10,442.88x = 15,667.21 × 4,822.27
  4. Step 4: Simplify right side
    10,442.88x = 75,551,516.77
  5. Step 5: Solve for x
    x = 75,551,516.77/10,442.88
  6. Step 6: Final answer
    x = 7,234.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.