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Finding the Fourth Proportional to 11,597.33, 17,405.22 and 4,203.90

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Solution

The fourth proportional to 11,597.33, 17,405.22 and 4,203.90 is: 6,309.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.33 : 17,405.22 = 4,203.90 : x
  2. Step 2: Convert to fraction form
    11,597.33/17,405.22 = 4,203.90/x
  3. Step 3: Cross multiply
    11,597.33x = 17,405.22 × 4,203.90
  4. Step 4: Simplify right side
    11,597.33x = 73,169,820.12
  5. Step 5: Solve for x
    x = 73,169,820.12/11,597.33
  6. Step 6: Final answer
    x = 6,309.19

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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.