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Finding the Fourth Proportional to 8,710.86, 12,022.07 and 5,174.09

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Solution

The fourth proportional to 8,710.86, 12,022.07 and 5,174.09 is: 7,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,710.86 : 12,022.07 = 5,174.09 : x
  2. Step 2: Convert to fraction form
    8,710.86/12,022.07 = 5,174.09/x
  3. Step 3: Cross multiply
    8,710.86x = 12,022.07 × 5,174.09
  4. Step 4: Simplify right side
    8,710.86x = 62,203,186.19
  5. Step 5: Solve for x
    x = 62,203,186.19/8,710.86
  6. Step 6: Final answer
    x = 7,140.88

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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.