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Finding the Fourth Proportional to 10,107.14, 15,162.80 and 4,263.80

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Solution

The fourth proportional to 10,107.14, 15,162.80 and 4,263.80 is: 6,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,107.14 : 15,162.80 = 4,263.80 : x
  2. Step 2: Convert to fraction form
    10,107.14/15,162.80 = 4,263.80/x
  3. Step 3: Cross multiply
    10,107.14x = 15,162.80 × 4,263.80
  4. Step 4: Simplify right side
    10,107.14x = 64,651,081.49
  5. Step 5: Solve for x
    x = 64,651,081.49/10,107.14
  6. Step 6: Final answer
    x = 6,396.58

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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.