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Finding the Fourth Proportional to 8,253.82, 11,390.15 and 4,716.95

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Solution

The fourth proportional to 8,253.82, 11,390.15 and 4,716.95 is: 6,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,253.82 : 11,390.15 = 4,716.95 : x
  2. Step 2: Convert to fraction form
    8,253.82/11,390.15 = 4,716.95/x
  3. Step 3: Cross multiply
    8,253.82x = 11,390.15 × 4,716.95
  4. Step 4: Simplify right side
    8,253.82x = 53,726,744.46
  5. Step 5: Solve for x
    x = 53,726,744.46/8,253.82
  6. Step 6: Final answer
    x = 6,509.32

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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.