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Finding the Fourth Proportional to 8,199.42, 11,314.38 and 4,795.93

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Solution

The fourth proportional to 8,199.42, 11,314.38 and 4,795.93 is: 6,617.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,199.42 : 11,314.38 = 4,795.93 : x
  2. Step 2: Convert to fraction form
    8,199.42/11,314.38 = 4,795.93/x
  3. Step 3: Cross multiply
    8,199.42x = 11,314.38 × 4,795.93
  4. Step 4: Simplify right side
    8,199.42x = 54,262,974.47
  5. Step 5: Solve for x
    x = 54,262,974.47/8,199.42
  6. Step 6: Final answer
    x = 6,617.90

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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.