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Finding the Fourth Proportional to 11,785.97, 16,264.04 and 6,479.76

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Solution

The fourth proportional to 11,785.97, 16,264.04 and 6,479.76 is: 8,941.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.97 : 16,264.04 = 6,479.76 : x
  2. Step 2: Convert to fraction form
    11,785.97/16,264.04 = 6,479.76/x
  3. Step 3: Cross multiply
    11,785.97x = 16,264.04 × 6,479.76
  4. Step 4: Simplify right side
    11,785.97x = 105,387,140.87
  5. Step 5: Solve for x
    x = 105,387,140.87/11,785.97
  6. Step 6: Final answer
    x = 8,941.74

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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.