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Finding the Fourth Proportional to 11,762.61, 17,645.46 and 6,216.18

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Solution

The fourth proportional to 11,762.61, 17,645.46 and 6,216.18 is: 9,325.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,762.61 : 17,645.46 = 6,216.18 : x
  2. Step 2: Convert to fraction form
    11,762.61/17,645.46 = 6,216.18/x
  3. Step 3: Cross multiply
    11,762.61x = 17,645.46 × 6,216.18
  4. Step 4: Simplify right side
    11,762.61x = 109,687,355.54
  5. Step 5: Solve for x
    x = 109,687,355.54/11,762.61
  6. Step 6: Final answer
    x = 9,325.09

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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.