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Finding the Fourth Proportional to 7,240.58, 9,992.33 and 5,665.94

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Solution

The fourth proportional to 7,240.58, 9,992.33 and 5,665.94 is: 7,819.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,240.58 : 9,992.33 = 5,665.94 : x
  2. Step 2: Convert to fraction form
    7,240.58/9,992.33 = 5,665.94/x
  3. Step 3: Cross multiply
    7,240.58x = 9,992.33 × 5,665.94
  4. Step 4: Simplify right side
    7,240.58x = 56,615,942.24
  5. Step 5: Solve for x
    x = 56,615,942.24/7,240.58
  6. Step 6: Final answer
    x = 7,819.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.