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Finding the Fourth Proportional to 7,811.16, 11,704.41 and 6,343.17

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Solution

The fourth proportional to 7,811.16, 11,704.41 and 6,343.17 is: 9,504.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.16 : 11,704.41 = 6,343.17 : x
  2. Step 2: Convert to fraction form
    7,811.16/11,704.41 = 6,343.17/x
  3. Step 3: Cross multiply
    7,811.16x = 11,704.41 × 6,343.17
  4. Step 4: Simplify right side
    7,811.16x = 74,243,062.38
  5. Step 5: Solve for x
    x = 74,243,062.38/7,811.16
  6. Step 6: Final answer
    x = 9,504.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.