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Finding the Fourth Proportional to 12,537.32, 17,308.20 and 8,004.56

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Solution

The fourth proportional to 12,537.32, 17,308.20 and 8,004.56 is: 11,050.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,537.32 : 17,308.20 = 8,004.56 : x
  2. Step 2: Convert to fraction form
    12,537.32/17,308.20 = 8,004.56/x
  3. Step 3: Cross multiply
    12,537.32x = 17,308.20 × 8,004.56
  4. Step 4: Simplify right side
    12,537.32x = 138,544,525.39
  5. Step 5: Solve for x
    x = 138,544,525.39/12,537.32
  6. Step 6: Final answer
    x = 11,050.57

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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.