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Finding the Fourth Proportional to 7,560.64, 11,341.42 and 3,178.44

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Solution

The fourth proportional to 7,560.64, 11,341.42 and 3,178.44 is: 4,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,560.64 : 11,341.42 = 3,178.44 : x
  2. Step 2: Convert to fraction form
    7,560.64/11,341.42 = 3,178.44/x
  3. Step 3: Cross multiply
    7,560.64x = 11,341.42 × 3,178.44
  4. Step 4: Simplify right side
    7,560.64x = 36,048,015.04
  5. Step 5: Solve for x
    x = 36,048,015.04/7,560.64
  6. Step 6: Final answer
    x = 4,767.85

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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.