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Finding the Fourth Proportional to 8,038.04, 12,057.14 and 2,194.65

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Solution

The fourth proportional to 8,038.04, 12,057.14 and 2,194.65 is: 3,292.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,038.04 : 12,057.14 = 2,194.65 : x
  2. Step 2: Convert to fraction form
    8,038.04/12,057.14 = 2,194.65/x
  3. Step 3: Cross multiply
    8,038.04x = 12,057.14 × 2,194.65
  4. Step 4: Simplify right side
    8,038.04x = 26,461,207.79
  5. Step 5: Solve for x
    x = 26,461,207.79/8,038.04
  6. Step 6: Final answer
    x = 3,292.00

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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.