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Finding the Fourth Proportional to 11,793.83, 16,275.46 and 6,488.64

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Solution

The fourth proportional to 11,793.83, 16,275.46 and 6,488.64 is: 8,954.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.83 : 16,275.46 = 6,488.64 : x
  2. Step 2: Convert to fraction form
    11,793.83/16,275.46 = 6,488.64/x
  3. Step 3: Cross multiply
    11,793.83x = 16,275.46 × 6,488.64
  4. Step 4: Simplify right side
    11,793.83x = 105,605,519.40
  5. Step 5: Solve for x
    x = 105,605,519.40/11,793.83
  6. Step 6: Final answer
    x = 8,954.30

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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.