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Finding the Fourth Proportional to 7,606.60, 11,380.74 and 5,667.46

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Solution

The fourth proportional to 7,606.60, 11,380.74 and 5,667.46 is: 8,479.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,606.60 : 11,380.74 = 5,667.46 : x
  2. Step 2: Convert to fraction form
    7,606.60/11,380.74 = 5,667.46/x
  3. Step 3: Cross multiply
    7,606.60x = 11,380.74 × 5,667.46
  4. Step 4: Simplify right side
    7,606.60x = 64,499,888.72
  5. Step 5: Solve for x
    x = 64,499,888.72/7,606.60
  6. Step 6: Final answer
    x = 8,479.46

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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.