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Finding the Fourth Proportional to 8,113.84, 12,172.78 and 2,270.40

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Solution

The fourth proportional to 8,113.84, 12,172.78 and 2,270.40 is: 3,406.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.84 : 12,172.78 = 2,270.40 : x
  2. Step 2: Convert to fraction form
    8,113.84/12,172.78 = 2,270.40/x
  3. Step 3: Cross multiply
    8,113.84x = 12,172.78 × 2,270.40
  4. Step 4: Simplify right side
    8,113.84x = 27,637,036.90
  5. Step 5: Solve for x
    x = 27,637,036.90/8,113.84
  6. Step 6: Final answer
    x = 3,406.16

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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.