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Finding the Fourth Proportional to 7,534.72, 11,294.16 and 3,630.88

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Solution

The fourth proportional to 7,534.72, 11,294.16 and 3,630.88 is: 5,442.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.72 : 11,294.16 = 3,630.88 : x
  2. Step 2: Convert to fraction form
    7,534.72/11,294.16 = 3,630.88/x
  3. Step 3: Cross multiply
    7,534.72x = 11,294.16 × 3,630.88
  4. Step 4: Simplify right side
    7,534.72x = 41,007,739.66
  5. Step 5: Solve for x
    x = 41,007,739.66/7,534.72
  6. Step 6: Final answer
    x = 5,442.50

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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.