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Finding the Fourth Proportional to 6,329.16, 8,729.26 and 5,904.75

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Solution

The fourth proportional to 6,329.16, 8,729.26 and 5,904.75 is: 8,143.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.16 : 8,729.26 = 5,904.75 : x
  2. Step 2: Convert to fraction form
    6,329.16/8,729.26 = 5,904.75/x
  3. Step 3: Cross multiply
    6,329.16x = 8,729.26 × 5,904.75
  4. Step 4: Simplify right side
    6,329.16x = 51,544,095.92
  5. Step 5: Solve for x
    x = 51,544,095.92/6,329.16
  6. Step 6: Final answer
    x = 8,143.90

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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.