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Finding the Fourth Proportional to 10,772.99, 14,859.41 and 6,989.39

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Solution

The fourth proportional to 10,772.99, 14,859.41 and 6,989.39 is: 9,640.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.99 : 14,859.41 = 6,989.39 : x
  2. Step 2: Convert to fraction form
    10,772.99/14,859.41 = 6,989.39/x
  3. Step 3: Cross multiply
    10,772.99x = 14,859.41 × 6,989.39
  4. Step 4: Simplify right side
    10,772.99x = 103,858,225.32
  5. Step 5: Solve for x
    x = 103,858,225.32/10,772.99
  6. Step 6: Final answer
    x = 9,640.62

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Why These Related Problems?

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