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Finding the Fourth Proportional to 7,549.62, 11,309.36 and 5,898.42

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Solution

The fourth proportional to 7,549.62, 11,309.36 and 5,898.42 is: 8,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,549.62 : 11,309.36 = 5,898.42 : x
  2. Step 2: Convert to fraction form
    7,549.62/11,309.36 = 5,898.42/x
  3. Step 3: Cross multiply
    7,549.62x = 11,309.36 × 5,898.42
  4. Step 4: Simplify right side
    7,549.62x = 66,707,355.21
  5. Step 5: Solve for x
    x = 66,707,355.21/7,549.62
  6. Step 6: Final answer
    x = 8,835.86

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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.