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Finding the Fourth Proportional to 6,106.72, 8,469.16 and 5,726.56

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Solution

The fourth proportional to 6,106.72, 8,469.16 and 5,726.56 is: 7,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.72 : 8,469.16 = 5,726.56 : x
  2. Step 2: Convert to fraction form
    6,106.72/8,469.16 = 5,726.56/x
  3. Step 3: Cross multiply
    6,106.72x = 8,469.16 × 5,726.56
  4. Step 4: Simplify right side
    6,106.72x = 48,499,152.89
  5. Step 5: Solve for x
    x = 48,499,152.89/6,106.72
  6. Step 6: Final answer
    x = 7,941.93

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.