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Finding the Fourth Proportional to 7,762.12, 11,642.84 and 2,215.44

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Solution

The fourth proportional to 7,762.12, 11,642.84 and 2,215.44 is: 3,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.12 : 11,642.84 = 2,215.44 : x
  2. Step 2: Convert to fraction form
    7,762.12/11,642.84 = 2,215.44/x
  3. Step 3: Cross multiply
    7,762.12x = 11,642.84 × 2,215.44
  4. Step 4: Simplify right side
    7,762.12x = 25,794,013.45
  5. Step 5: Solve for x
    x = 25,794,013.45/7,762.12
  6. Step 6: Final answer
    x = 3,323.06

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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.