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Finding the Fourth Proportional to 7,585.96, 11,378.54 and 3,424.92

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Solution

The fourth proportional to 7,585.96, 11,378.54 and 3,424.92 is: 5,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,585.96 : 11,378.54 = 3,424.92 : x
  2. Step 2: Convert to fraction form
    7,585.96/11,378.54 = 3,424.92/x
  3. Step 3: Cross multiply
    7,585.96x = 11,378.54 × 3,424.92
  4. Step 4: Simplify right side
    7,585.96x = 38,970,589.22
  5. Step 5: Solve for x
    x = 38,970,589.22/7,585.96
  6. Step 6: Final answer
    x = 5,137.20

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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.