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Finding the Fourth Proportional to 12,908.25, 17,813.58 and 7,530.54

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Solution

The fourth proportional to 12,908.25, 17,813.58 and 7,530.54 is: 10,392.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,908.25 : 17,813.58 = 7,530.54 : x
  2. Step 2: Convert to fraction form
    12,908.25/17,813.58 = 7,530.54/x
  3. Step 3: Cross multiply
    12,908.25x = 17,813.58 × 7,530.54
  4. Step 4: Simplify right side
    12,908.25x = 134,145,876.73
  5. Step 5: Solve for x
    x = 134,145,876.73/12,908.25
  6. Step 6: Final answer
    x = 10,392.26

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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.