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Finding the Fourth Proportional to 7,164.64, 10,756.14 and 5,522.32

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Solution

The fourth proportional to 7,164.64, 10,756.14 and 5,522.32 is: 8,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.64 : 10,756.14 = 5,522.32 : x
  2. Step 2: Convert to fraction form
    7,164.64/10,756.14 = 5,522.32/x
  3. Step 3: Cross multiply
    7,164.64x = 10,756.14 × 5,522.32
  4. Step 4: Simplify right side
    7,164.64x = 59,398,847.04
  5. Step 5: Solve for x
    x = 59,398,847.04/7,164.64
  6. Step 6: Final answer
    x = 8,290.56

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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.