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Finding the Fourth Proportional to 11,143.36, 15,378.02 and 6,107.48

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Solution

The fourth proportional to 11,143.36, 15,378.02 and 6,107.48 is: 8,428.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.36 : 15,378.02 = 6,107.48 : x
  2. Step 2: Convert to fraction form
    11,143.36/15,378.02 = 6,107.48/x
  3. Step 3: Cross multiply
    11,143.36x = 15,378.02 × 6,107.48
  4. Step 4: Simplify right side
    11,143.36x = 93,920,949.59
  5. Step 5: Solve for x
    x = 93,920,949.59/11,143.36
  6. Step 6: Final answer
    x = 8,428.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.