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Finding the Fourth Proportional to 8,130.66, 12,194.57 and 2,285.88

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Solution

The fourth proportional to 8,130.66, 12,194.57 and 2,285.88 is: 3,428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,130.66 : 12,194.57 = 2,285.88 : x
  2. Step 2: Convert to fraction form
    8,130.66/12,194.57 = 2,285.88/x
  3. Step 3: Cross multiply
    8,130.66x = 12,194.57 × 2,285.88
  4. Step 4: Simplify right side
    8,130.66x = 27,875,251.27
  5. Step 5: Solve for x
    x = 27,875,251.27/8,130.66
  6. Step 6: Final answer
    x = 3,428.41

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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.