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Finding the Fourth Proportional to 7,590.50, 11,387.43 and 3,211.70

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Solution

The fourth proportional to 7,590.50, 11,387.43 and 3,211.70 is: 4,818.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.50 : 11,387.43 = 3,211.70 : x
  2. Step 2: Convert to fraction form
    7,590.50/11,387.43 = 3,211.70/x
  3. Step 3: Cross multiply
    7,590.50x = 11,387.43 × 3,211.70
  4. Step 4: Simplify right side
    7,590.50x = 36,573,008.93
  5. Step 5: Solve for x
    x = 36,573,008.93/7,590.50
  6. Step 6: Final answer
    x = 4,818.26

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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.