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Finding the Fourth Proportional to 7,590.16, 11,336.09 and 7,540.48

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Solution

The fourth proportional to 7,590.16, 11,336.09 and 7,540.48 is: 11,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.16 : 11,336.09 = 7,540.48 : x
  2. Step 2: Convert to fraction form
    7,590.16/11,336.09 = 7,540.48/x
  3. Step 3: Cross multiply
    7,590.16x = 11,336.09 × 7,540.48
  4. Step 4: Simplify right side
    7,590.16x = 85,479,559.92
  5. Step 5: Solve for x
    x = 85,479,559.92/7,590.16
  6. Step 6: Final answer
    x = 11,261.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.