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Finding the Fourth Proportional to 11,806.46, 17,699.16 and 4,405.22

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Solution

The fourth proportional to 11,806.46, 17,699.16 and 4,405.22 is: 6,603.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.46 : 17,699.16 = 4,405.22 : x
  2. Step 2: Convert to fraction form
    11,806.46/17,699.16 = 4,405.22/x
  3. Step 3: Cross multiply
    11,806.46x = 17,699.16 × 4,405.22
  4. Step 4: Simplify right side
    11,806.46x = 77,968,693.62
  5. Step 5: Solve for x
    x = 77,968,693.62/11,806.46
  6. Step 6: Final answer
    x = 6,603.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.