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Finding the Fourth Proportional to 8,227.40, 11,353.75 and 4,642.39

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Solution

The fourth proportional to 8,227.40, 11,353.75 and 4,642.39 is: 6,406.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.40 : 11,353.75 = 4,642.39 : x
  2. Step 2: Convert to fraction form
    8,227.40/11,353.75 = 4,642.39/x
  3. Step 3: Cross multiply
    8,227.40x = 11,353.75 × 4,642.39
  4. Step 4: Simplify right side
    8,227.40x = 52,708,486.77
  5. Step 5: Solve for x
    x = 52,708,486.77/8,227.40
  6. Step 6: Final answer
    x = 6,406.45

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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.