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Finding the Fourth Proportional to 7,590.98, 10,480.38 and 5,819.24

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Solution

The fourth proportional to 7,590.98, 10,480.38 and 5,819.24 is: 8,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.98 : 10,480.38 = 5,819.24 : x
  2. Step 2: Convert to fraction form
    7,590.98/10,480.38 = 5,819.24/x
  3. Step 3: Cross multiply
    7,590.98x = 10,480.38 × 5,819.24
  4. Step 4: Simplify right side
    7,590.98x = 60,987,846.51
  5. Step 5: Solve for x
    x = 60,987,846.51/7,590.98
  6. Step 6: Final answer
    x = 8,034.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.