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Finding the Fourth Proportional to 8,154.48, 12,232.79 and 2,311.25

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Solution

The fourth proportional to 8,154.48, 12,232.79 and 2,311.25 is: 3,467.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.48 : 12,232.79 = 2,311.25 : x
  2. Step 2: Convert to fraction form
    8,154.48/12,232.79 = 2,311.25/x
  3. Step 3: Cross multiply
    8,154.48x = 12,232.79 × 2,311.25
  4. Step 4: Simplify right side
    8,154.48x = 28,272,971.83
  5. Step 5: Solve for x
    x = 28,272,971.83/8,154.48
  6. Step 6: Final answer
    x = 3,467.17

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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.