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Finding the Fourth Proportional to 7,590.75, 11,387.81 and 3,211.95

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Solution

The fourth proportional to 7,590.75, 11,387.81 and 3,211.95 is: 4,818.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.75 : 11,387.81 = 3,211.95 : x
  2. Step 2: Convert to fraction form
    7,590.75/11,387.81 = 3,211.95/x
  3. Step 3: Cross multiply
    7,590.75x = 11,387.81 × 3,211.95
  4. Step 4: Simplify right side
    7,590.75x = 36,577,060.27
  5. Step 5: Solve for x
    x = 36,577,060.27/7,590.75
  6. Step 6: Final answer
    x = 4,818.64

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