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Finding the Fourth Proportional to 8,076.15, 12,113.33 and 2,232

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Solution

The fourth proportional to 8,076.15, 12,113.33 and 2,232 is: 3,347.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076.15 : 12,113.33 = 2,232 : x
  2. Step 2: Convert to fraction form
    8,076.15/12,113.33 = 2,232/x
  3. Step 3: Cross multiply
    8,076.15x = 12,113.33 × 2,232
  4. Step 4: Simplify right side
    8,076.15x = 27,036,941.40
  5. Step 5: Solve for x
    x = 27,036,941.40/8,076.15
  6. Step 6: Final answer
    x = 3,347.75

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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.