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Finding the Fourth Proportional to 8,253.05, 12,373.42 and 4,965.38

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Solution

The fourth proportional to 8,253.05, 12,373.42 and 4,965.38 is: 7,444.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.05 : 12,373.42 = 4,965.38 : x
  2. Step 2: Convert to fraction form
    8,253.05/12,373.42 = 4,965.38/x
  3. Step 3: Cross multiply
    8,253.05x = 12,373.42 × 4,965.38
  4. Step 4: Simplify right side
    8,253.05x = 61,438,664.86
  5. Step 5: Solve for x
    x = 61,438,664.86/8,253.05
  6. Step 6: Final answer
    x = 7,444.36

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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.