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Finding the Fourth Proportional to 11,947.90, 16,488.12 and 6,642.58

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Solution

The fourth proportional to 11,947.90, 16,488.12 and 6,642.58 is: 9,166.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.90 : 16,488.12 = 6,642.58 : x
  2. Step 2: Convert to fraction form
    11,947.90/16,488.12 = 6,642.58/x
  3. Step 3: Cross multiply
    11,947.90x = 16,488.12 × 6,642.58
  4. Step 4: Simplify right side
    11,947.90x = 109,523,656.15
  5. Step 5: Solve for x
    x = 109,523,656.15/11,947.90
  6. Step 6: Final answer
    x = 9,166.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.