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Finding the Fourth Proportional to 11,794.47, 16,275.78 and 6,488.43

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Solution

The fourth proportional to 11,794.47, 16,275.78 and 6,488.43 is: 8,953.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.47 : 16,275.78 = 6,488.43 : x
  2. Step 2: Convert to fraction form
    11,794.47/16,275.78 = 6,488.43/x
  3. Step 3: Cross multiply
    11,794.47x = 16,275.78 × 6,488.43
  4. Step 4: Simplify right side
    11,794.47x = 105,604,259.23
  5. Step 5: Solve for x
    x = 105,604,259.23/11,794.47
  6. Step 6: Final answer
    x = 8,953.71

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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.