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Finding the Fourth Proportional to 8,107.74, 12,124.55 and 5,894.01

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Solution

The fourth proportional to 8,107.74, 12,124.55 and 5,894.01 is: 8,814.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.74 : 12,124.55 = 5,894.01 : x
  2. Step 2: Convert to fraction form
    8,107.74/12,124.55 = 5,894.01/x
  3. Step 3: Cross multiply
    8,107.74x = 12,124.55 × 5,894.01
  4. Step 4: Simplify right side
    8,107.74x = 71,462,233.68
  5. Step 5: Solve for x
    x = 71,462,233.68/8,107.74
  6. Step 6: Final answer
    x = 8,814.08

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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.