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Finding the Fourth Proportional to 8,141.02, 12,210.85 and 2,594.14

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Solution

The fourth proportional to 8,141.02, 12,210.85 and 2,594.14 is: 3,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.02 : 12,210.85 = 2,594.14 : x
  2. Step 2: Convert to fraction form
    8,141.02/12,210.85 = 2,594.14/x
  3. Step 3: Cross multiply
    8,141.02x = 12,210.85 × 2,594.14
  4. Step 4: Simplify right side
    8,141.02x = 31,676,654.42
  5. Step 5: Solve for x
    x = 31,676,654.42/8,141.02
  6. Step 6: Final answer
    x = 3,890.99

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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.