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Finding the Fourth Proportional to 7,115.60, 10,666.77 and 3,164.78

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Solution

The fourth proportional to 7,115.60, 10,666.77 and 3,164.78 is: 4,744.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,115.60 : 10,666.77 = 3,164.78 : x
  2. Step 2: Convert to fraction form
    7,115.60/10,666.77 = 3,164.78/x
  3. Step 3: Cross multiply
    7,115.60x = 10,666.77 × 3,164.78
  4. Step 4: Simplify right side
    7,115.60x = 33,757,927.03
  5. Step 5: Solve for x
    x = 33,757,927.03/7,115.60
  6. Step 6: Final answer
    x = 4,744.22

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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.