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Finding the Fourth Proportional to 7,677.90, 11,512.80 and 3,290.40

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Solution

The fourth proportional to 7,677.90, 11,512.80 and 3,290.40 is: 4,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.90 : 11,512.80 = 3,290.40 : x
  2. Step 2: Convert to fraction form
    7,677.90/11,512.80 = 3,290.40/x
  3. Step 3: Cross multiply
    7,677.90x = 11,512.80 × 3,290.40
  4. Step 4: Simplify right side
    7,677.90x = 37,881,717.12
  5. Step 5: Solve for x
    x = 37,881,717.12/7,677.90
  6. Step 6: Final answer
    x = 4,933.86

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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.