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Finding the Fourth Proportional to 7,758.48, 11,636.75 and 2,493.07

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Solution

The fourth proportional to 7,758.48, 11,636.75 and 2,493.07 is: 3,739.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.48 : 11,636.75 = 2,493.07 : x
  2. Step 2: Convert to fraction form
    7,758.48/11,636.75 = 2,493.07/x
  3. Step 3: Cross multiply
    7,758.48x = 11,636.75 × 2,493.07
  4. Step 4: Simplify right side
    7,758.48x = 29,011,232.32
  5. Step 5: Solve for x
    x = 29,011,232.32/7,758.48
  6. Step 6: Final answer
    x = 3,739.29

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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.