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Finding the Fourth Proportional to 10,222.12, 14,106.18 and 5,806.12

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Solution

The fourth proportional to 10,222.12, 14,106.18 and 5,806.12 is: 8,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,222.12 : 14,106.18 = 5,806.12 : x
  2. Step 2: Convert to fraction form
    10,222.12/14,106.18 = 5,806.12/x
  3. Step 3: Cross multiply
    10,222.12x = 14,106.18 × 5,806.12
  4. Step 4: Simplify right side
    10,222.12x = 81,902,173.82
  5. Step 5: Solve for x
    x = 81,902,173.82/10,222.12
  6. Step 6: Final answer
    x = 8,012.25

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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.