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Finding the Fourth Proportional to 7,321.14, 10,102.95 and 4,177.17

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Solution

The fourth proportional to 7,321.14, 10,102.95 and 4,177.17 is: 5,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.14 : 10,102.95 = 4,177.17 : x
  2. Step 2: Convert to fraction form
    7,321.14/10,102.95 = 4,177.17/x
  3. Step 3: Cross multiply
    7,321.14x = 10,102.95 × 4,177.17
  4. Step 4: Simplify right side
    7,321.14x = 42,201,739.65
  5. Step 5: Solve for x
    x = 42,201,739.65/7,321.14
  6. Step 6: Final answer
    x = 5,764.37

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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.