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Finding the Fourth Proportional to 7,768.12, 11,641.20 and 3,609.40

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Solution

The fourth proportional to 7,768.12, 11,641.20 and 3,609.40 is: 5,409.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.12 : 11,641.20 = 3,609.40 : x
  2. Step 2: Convert to fraction form
    7,768.12/11,641.20 = 3,609.40/x
  3. Step 3: Cross multiply
    7,768.12x = 11,641.20 × 3,609.40
  4. Step 4: Simplify right side
    7,768.12x = 42,017,747.28
  5. Step 5: Solve for x
    x = 42,017,747.28/7,768.12
  6. Step 6: Final answer
    x = 5,409.00

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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.