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Finding the Fourth Proportional to 12,758.63, 17,606.86 and 7,093.19

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Solution

The fourth proportional to 12,758.63, 17,606.86 and 7,093.19 is: 9,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,758.63 : 17,606.86 = 7,093.19 : x
  2. Step 2: Convert to fraction form
    12,758.63/17,606.86 = 7,093.19/x
  3. Step 3: Cross multiply
    12,758.63x = 17,606.86 × 7,093.19
  4. Step 4: Simplify right side
    12,758.63x = 124,888,829.57
  5. Step 5: Solve for x
    x = 124,888,829.57/12,758.63
  6. Step 6: Final answer
    x = 9,788.58

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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.