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Finding the Fourth Proportional to 7,441.56, 11,162.34 and 5,569.38

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Solution

The fourth proportional to 7,441.56, 11,162.34 and 5,569.38 is: 8,354.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,441.56 : 11,162.34 = 5,569.38 : x
  2. Step 2: Convert to fraction form
    7,441.56/11,162.34 = 5,569.38/x
  3. Step 3: Cross multiply
    7,441.56x = 11,162.34 × 5,569.38
  4. Step 4: Simplify right side
    7,441.56x = 62,167,313.15
  5. Step 5: Solve for x
    x = 62,167,313.15/7,441.56
  6. Step 6: Final answer
    x = 8,354.07

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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.