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Finding the Fourth Proportional to 6,174.14, 8,521.61 and 5,675.99

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Solution

The fourth proportional to 6,174.14, 8,521.61 and 5,675.99 is: 7,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.14 : 8,521.61 = 5,675.99 : x
  2. Step 2: Convert to fraction form
    6,174.14/8,521.61 = 5,675.99/x
  3. Step 3: Cross multiply
    6,174.14x = 8,521.61 × 5,675.99
  4. Step 4: Simplify right side
    6,174.14x = 48,368,502.16
  5. Step 5: Solve for x
    x = 48,368,502.16/6,174.14
  6. Step 6: Final answer
    x = 7,834.05

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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.