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Finding the Fourth Proportional to 7,667.22, 11,488.06 and 5,816.16

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Solution

The fourth proportional to 7,667.22, 11,488.06 and 5,816.16 is: 8,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,667.22 : 11,488.06 = 5,816.16 : x
  2. Step 2: Convert to fraction form
    7,667.22/11,488.06 = 5,816.16/x
  3. Step 3: Cross multiply
    7,667.22x = 11,488.06 × 5,816.16
  4. Step 4: Simplify right side
    7,667.22x = 66,816,395.05
  5. Step 5: Solve for x
    x = 66,816,395.05/7,667.22
  6. Step 6: Final answer
    x = 8,714.55

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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.