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Finding the Fourth Proportional to 7,780.68, 11,664.50 and 3,394.80

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Solution

The fourth proportional to 7,780.68, 11,664.50 and 3,394.80 is: 5,089.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,780.68 : 11,664.50 = 3,394.80 : x
  2. Step 2: Convert to fraction form
    7,780.68/11,664.50 = 3,394.80/x
  3. Step 3: Cross multiply
    7,780.68x = 11,664.50 × 3,394.80
  4. Step 4: Simplify right side
    7,780.68x = 39,598,627.63
  5. Step 5: Solve for x
    x = 39,598,627.63/7,780.68
  6. Step 6: Final answer
    x = 5,089.35

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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.