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Finding the Fourth Proportional to 10,806.50, 14,881.38 and 10,351.28

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Solution

The fourth proportional to 10,806.50, 14,881.38 and 10,351.28 is: 14,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.50 : 14,881.38 = 10,351.28 : x
  2. Step 2: Convert to fraction form
    10,806.50/14,881.38 = 10,351.28/x
  3. Step 3: Cross multiply
    10,806.50x = 14,881.38 × 10,351.28
  4. Step 4: Simplify right side
    10,806.50x = 154,041,331.17
  5. Step 5: Solve for x
    x = 154,041,331.17/10,806.50
  6. Step 6: Final answer
    x = 14,254.51

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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.