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Finding the Fourth Proportional to 7,566.32, 11,339.62 and 3,865.43

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Solution

The fourth proportional to 7,566.32, 11,339.62 and 3,865.43 is: 5,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,566.32 : 11,339.62 = 3,865.43 : x
  2. Step 2: Convert to fraction form
    7,566.32/11,339.62 = 3,865.43/x
  3. Step 3: Cross multiply
    7,566.32x = 11,339.62 × 3,865.43
  4. Step 4: Simplify right side
    7,566.32x = 43,832,507.34
  5. Step 5: Solve for x
    x = 43,832,507.34/7,566.32
  6. Step 6: Final answer
    x = 5,793.11

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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.