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Finding the Fourth Proportional to 7,097.75, 10,653.19 and 3,590.24

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Solution

The fourth proportional to 7,097.75, 10,653.19 and 3,590.24 is: 5,388.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.75 : 10,653.19 = 3,590.24 : x
  2. Step 2: Convert to fraction form
    7,097.75/10,653.19 = 3,590.24/x
  3. Step 3: Cross multiply
    7,097.75x = 10,653.19 × 3,590.24
  4. Step 4: Simplify right side
    7,097.75x = 38,247,508.87
  5. Step 5: Solve for x
    x = 38,247,508.87/7,097.75
  6. Step 6: Final answer
    x = 5,388.68

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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.