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Finding the Fourth Proportional to 12,588.18, 17,375.34 and 7,809.58

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Solution

The fourth proportional to 12,588.18, 17,375.34 and 7,809.58 is: 10,779.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,588.18 : 17,375.34 = 7,809.58 : x
  2. Step 2: Convert to fraction form
    12,588.18/17,375.34 = 7,809.58/x
  3. Step 3: Cross multiply
    12,588.18x = 17,375.34 × 7,809.58
  4. Step 4: Simplify right side
    12,588.18x = 135,694,107.76
  5. Step 5: Solve for x
    x = 135,694,107.76/12,588.18
  6. Step 6: Final answer
    x = 10,779.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.