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Finding the Fourth Proportional to 7,854.48, 11,782.32 and 2,587.44

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Solution

The fourth proportional to 7,854.48, 11,782.32 and 2,587.44 is: 3,881.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.48 : 11,782.32 = 2,587.44 : x
  2. Step 2: Convert to fraction form
    7,854.48/11,782.32 = 2,587.44/x
  3. Step 3: Cross multiply
    7,854.48x = 11,782.32 × 2,587.44
  4. Step 4: Simplify right side
    7,854.48x = 30,486,046.06
  5. Step 5: Solve for x
    x = 30,486,046.06/7,854.48
  6. Step 6: Final answer
    x = 3,881.36

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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.