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Finding the Fourth Proportional to 10,129.58, 13,947.63 and 8,634.14

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Solution

The fourth proportional to 10,129.58, 13,947.63 and 8,634.14 is: 11,888.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.58 : 13,947.63 = 8,634.14 : x
  2. Step 2: Convert to fraction form
    10,129.58/13,947.63 = 8,634.14/x
  3. Step 3: Cross multiply
    10,129.58x = 13,947.63 × 8,634.14
  4. Step 4: Simplify right side
    10,129.58x = 120,425,790.09
  5. Step 5: Solve for x
    x = 120,425,790.09/10,129.58
  6. Step 6: Final answer
    x = 11,888.53

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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.