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Finding the Fourth Proportional to 7,854.57, 11,781.94 and 2,308.02

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Solution

The fourth proportional to 7,854.57, 11,781.94 and 2,308.02 is: 3,462.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.57 : 11,781.94 = 2,308.02 : x
  2. Step 2: Convert to fraction form
    7,854.57/11,781.94 = 2,308.02/x
  3. Step 3: Cross multiply
    7,854.57x = 11,781.94 × 2,308.02
  4. Step 4: Simplify right side
    7,854.57x = 27,192,911.86
  5. Step 5: Solve for x
    x = 27,192,911.86/7,854.57
  6. Step 6: Final answer
    x = 3,462.05

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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.