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Finding the Fourth Proportional to 10,800.14, 14,906.23 and 6,767.55

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Solution

The fourth proportional to 10,800.14, 14,906.23 and 6,767.55 is: 9,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800.14 : 14,906.23 = 6,767.55 : x
  2. Step 2: Convert to fraction form
    10,800.14/14,906.23 = 6,767.55/x
  3. Step 3: Cross multiply
    10,800.14x = 14,906.23 × 6,767.55
  4. Step 4: Simplify right side
    10,800.14x = 100,878,639.92
  5. Step 5: Solve for x
    x = 100,878,639.92/10,800.14
  6. Step 6: Final answer
    x = 9,340.50

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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.