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Finding the Fourth Proportional to 7,488.42, 11,232.62 and 2,558.09

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Solution

The fourth proportional to 7,488.42, 11,232.62 and 2,558.09 is: 3,837.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488.42 : 11,232.62 = 2,558.09 : x
  2. Step 2: Convert to fraction form
    7,488.42/11,232.62 = 2,558.09/x
  3. Step 3: Cross multiply
    7,488.42x = 11,232.62 × 2,558.09
  4. Step 4: Simplify right side
    7,488.42x = 28,734,077.78
  5. Step 5: Solve for x
    x = 28,734,077.78/7,488.42
  6. Step 6: Final answer
    x = 3,837.14

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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.