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Finding the Fourth Proportional to 7,582.96, 11,370.96 and 3,198.01

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Solution

The fourth proportional to 7,582.96, 11,370.96 and 3,198.01 is: 4,795.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,582.96 : 11,370.96 = 3,198.01 : x
  2. Step 2: Convert to fraction form
    7,582.96/11,370.96 = 3,198.01/x
  3. Step 3: Cross multiply
    7,582.96x = 11,370.96 × 3,198.01
  4. Step 4: Simplify right side
    7,582.96x = 36,364,443.79
  5. Step 5: Solve for x
    x = 36,364,443.79/7,582.96
  6. Step 6: Final answer
    x = 4,795.55

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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.