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Finding the Fourth Proportional to 7,596.54, 11,402.10 and 3,703.68

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Solution

The fourth proportional to 7,596.54, 11,402.10 and 3,703.68 is: 5,559.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,596.54 : 11,402.10 = 3,703.68 : x
  2. Step 2: Convert to fraction form
    7,596.54/11,402.10 = 3,703.68/x
  3. Step 3: Cross multiply
    7,596.54x = 11,402.10 × 3,703.68
  4. Step 4: Simplify right side
    7,596.54x = 42,229,729.73
  5. Step 5: Solve for x
    x = 42,229,729.73/7,596.54
  6. Step 6: Final answer
    x = 5,559.07

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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.