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Finding the Fourth Proportional to 10,288.69, 14,206.39 and 7,894.87

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Solution

The fourth proportional to 10,288.69, 14,206.39 and 7,894.87 is: 10,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,288.69 : 14,206.39 = 7,894.87 : x
  2. Step 2: Convert to fraction form
    10,288.69/14,206.39 = 7,894.87/x
  3. Step 3: Cross multiply
    10,288.69x = 14,206.39 × 7,894.87
  4. Step 4: Simplify right side
    10,288.69x = 112,157,546.97
  5. Step 5: Solve for x
    x = 112,157,546.97/10,288.69
  6. Step 6: Final answer
    x = 10,901.05

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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.