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Finding the Fourth Proportional to 7,740.90, 11,609.80 and 3,297.71

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Solution

The fourth proportional to 7,740.90, 11,609.80 and 3,297.71 is: 4,945.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,740.90 : 11,609.80 = 3,297.71 : x
  2. Step 2: Convert to fraction form
    7,740.90/11,609.80 = 3,297.71/x
  3. Step 3: Cross multiply
    7,740.90x = 11,609.80 × 3,297.71
  4. Step 4: Simplify right side
    7,740.90x = 38,285,774.34
  5. Step 5: Solve for x
    x = 38,285,774.34/7,740.90
  6. Step 6: Final answer
    x = 4,945.91

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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.