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Finding the Fourth Proportional to 7,567.64, 11,362.00 and 3,872.42

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Solution

The fourth proportional to 7,567.64, 11,362.00 and 3,872.42 is: 5,814.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,567.64 : 11,362.00 = 3,872.42 : x
  2. Step 2: Convert to fraction form
    7,567.64/11,362.00 = 3,872.42/x
  3. Step 3: Cross multiply
    7,567.64x = 11,362.00 × 3,872.42
  4. Step 4: Simplify right side
    7,567.64x = 43,998,454.76
  5. Step 5: Solve for x
    x = 43,998,454.76/7,567.64
  6. Step 6: Final answer
    x = 5,814.02

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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.