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Finding the Fourth Proportional to 7,854.17, 11,785.10 and 3,694.01

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Solution

The fourth proportional to 7,854.17, 11,785.10 and 3,694.01 is: 5,542.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.17 : 11,785.10 = 3,694.01 : x
  2. Step 2: Convert to fraction form
    7,854.17/11,785.10 = 3,694.01/x
  3. Step 3: Cross multiply
    7,854.17x = 11,785.10 × 3,694.01
  4. Step 4: Simplify right side
    7,854.17x = 43,534,199.86
  5. Step 5: Solve for x
    x = 43,534,199.86/7,854.17
  6. Step 6: Final answer
    x = 5,542.82

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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.