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Finding the Fourth Proportional to 7,785.52, 11,671.34 and 2,854.01

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Solution

The fourth proportional to 7,785.52, 11,671.34 and 2,854.01 is: 4,278.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,785.52 : 11,671.34 = 2,854.01 : x
  2. Step 2: Convert to fraction form
    7,785.52/11,671.34 = 2,854.01/x
  3. Step 3: Cross multiply
    7,785.52x = 11,671.34 × 2,854.01
  4. Step 4: Simplify right side
    7,785.52x = 33,310,135.62
  5. Step 5: Solve for x
    x = 33,310,135.62/7,785.52
  6. Step 6: Final answer
    x = 4,278.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.