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Finding the Fourth Proportional to 7,680.40, 11,537.04 and 6,512.80

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Solution

The fourth proportional to 7,680.40, 11,537.04 and 6,512.80 is: 9,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.40 : 11,537.04 = 6,512.80 : x
  2. Step 2: Convert to fraction form
    7,680.40/11,537.04 = 6,512.80/x
  3. Step 3: Cross multiply
    7,680.40x = 11,537.04 × 6,512.80
  4. Step 4: Simplify right side
    7,680.40x = 75,138,434.11
  5. Step 5: Solve for x
    x = 75,138,434.11/7,680.40
  6. Step 6: Final answer
    x = 9,783.14

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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.