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Finding the Fourth Proportional to 7,345.85, 11,023.43 and 3,842.17

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Solution

The fourth proportional to 7,345.85, 11,023.43 and 3,842.17 is: 5,765.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,345.85 : 11,023.43 = 3,842.17 : x
  2. Step 2: Convert to fraction form
    7,345.85/11,023.43 = 3,842.17/x
  3. Step 3: Cross multiply
    7,345.85x = 11,023.43 × 3,842.17
  4. Step 4: Simplify right side
    7,345.85x = 42,353,845.27
  5. Step 5: Solve for x
    x = 42,353,845.27/7,345.85
  6. Step 6: Final answer
    x = 5,765.69

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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.