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Finding the Fourth Proportional to 8,242.39, 11,374.54 and 4,465.56

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Solution

The fourth proportional to 8,242.39, 11,374.54 and 4,465.56 is: 6,162.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.39 : 11,374.54 = 4,465.56 : x
  2. Step 2: Convert to fraction form
    8,242.39/11,374.54 = 4,465.56/x
  3. Step 3: Cross multiply
    8,242.39x = 11,374.54 × 4,465.56
  4. Step 4: Simplify right side
    8,242.39x = 50,793,679.68
  5. Step 5: Solve for x
    x = 50,793,679.68/8,242.39
  6. Step 6: Final answer
    x = 6,162.50

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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.