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Finding the Fourth Proportional to 10,677.14, 16,007.41 and 6,920.99

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Solution

The fourth proportional to 10,677.14, 16,007.41 and 6,920.99 is: 10,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.14 : 16,007.41 = 6,920.99 : x
  2. Step 2: Convert to fraction form
    10,677.14/16,007.41 = 6,920.99/x
  3. Step 3: Cross multiply
    10,677.14x = 16,007.41 × 6,920.99
  4. Step 4: Simplify right side
    10,677.14x = 110,787,124.54
  5. Step 5: Solve for x
    x = 110,787,124.54/10,677.14
  6. Step 6: Final answer
    x = 10,376.10

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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.