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Finding the Fourth Proportional to 11,788.38, 16,268.31 and 6,483.53

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Solution

The fourth proportional to 11,788.38, 16,268.31 and 6,483.53 is: 8,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,788.38 : 16,268.31 = 6,483.53 : x
  2. Step 2: Convert to fraction form
    11,788.38/16,268.31 = 6,483.53/x
  3. Step 3: Cross multiply
    11,788.38x = 16,268.31 × 6,483.53
  4. Step 4: Simplify right side
    11,788.38x = 105,476,116.61
  5. Step 5: Solve for x
    x = 105,476,116.61/11,788.38
  6. Step 6: Final answer
    x = 8,947.46

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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.