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Finding the Fourth Proportional to 7,590.14, 10,462.97 and 5,908.58

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Solution

The fourth proportional to 7,590.14, 10,462.97 and 5,908.58 is: 8,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,590.14 : 10,462.97 = 5,908.58 : x
  2. Step 2: Convert to fraction form
    7,590.14/10,462.97 = 5,908.58/x
  3. Step 3: Cross multiply
    7,590.14x = 10,462.97 × 5,908.58
  4. Step 4: Simplify right side
    7,590.14x = 61,821,295.28
  5. Step 5: Solve for x
    x = 61,821,295.28/7,590.14
  6. Step 6: Final answer
    x = 8,144.95

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