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Finding the Fourth Proportional to 7,816.62, 11,664.33 and 7,118.13

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Solution

The fourth proportional to 7,816.62, 11,664.33 and 7,118.13 is: 10,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,816.62 : 11,664.33 = 7,118.13 : x
  2. Step 2: Convert to fraction form
    7,816.62/11,664.33 = 7,118.13/x
  3. Step 3: Cross multiply
    7,816.62x = 11,664.33 × 7,118.13
  4. Step 4: Simplify right side
    7,816.62x = 83,028,217.30
  5. Step 5: Solve for x
    x = 83,028,217.30/7,816.62
  6. Step 6: Final answer
    x = 10,622.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.