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Finding the Fourth Proportional to 7,680.24, 11,507.76 and 7,392.42

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Solution

The fourth proportional to 7,680.24, 11,507.76 and 7,392.42 is: 11,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,680.24 : 11,507.76 = 7,392.42 : x
  2. Step 2: Convert to fraction form
    7,680.24/11,507.76 = 7,392.42/x
  3. Step 3: Cross multiply
    7,680.24x = 11,507.76 × 7,392.42
  4. Step 4: Simplify right side
    7,680.24x = 85,070,195.18
  5. Step 5: Solve for x
    x = 85,070,195.18/7,680.24
  6. Step 6: Final answer
    x = 11,076.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.