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Finding the Fourth Proportional to 7,680.32, 11,509.68 and 4,388.48

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Solution

The fourth proportional to 7,680.32, 11,509.68 and 4,388.48 is: 6,576.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.32 : 11,509.68 = 4,388.48 : x
  2. Step 2: Convert to fraction form
    7,680.32/11,509.68 = 4,388.48/x
  3. Step 3: Cross multiply
    7,680.32x = 11,509.68 × 4,388.48
  4. Step 4: Simplify right side
    7,680.32x = 50,510,000.49
  5. Step 5: Solve for x
    x = 50,510,000.49/7,680.32
  6. Step 6: Final answer
    x = 6,576.55

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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.