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Finding the Fourth Proportional to 6,816.16, 10,207.83 and 4,618.22

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Solution

The fourth proportional to 6,816.16, 10,207.83 and 4,618.22 is: 6,916.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,816.16 : 10,207.83 = 4,618.22 : x
  2. Step 2: Convert to fraction form
    6,816.16/10,207.83 = 4,618.22/x
  3. Step 3: Cross multiply
    6,816.16x = 10,207.83 × 4,618.22
  4. Step 4: Simplify right side
    6,816.16x = 47,141,981.57
  5. Step 5: Solve for x
    x = 47,141,981.57/6,816.16
  6. Step 6: Final answer
    x = 6,916.21

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