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Finding the Fourth Proportional to 12,890.82, 17,790.58 and 7,226.53

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Solution

The fourth proportional to 12,890.82, 17,790.58 and 7,226.53 is: 9,973.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.82 : 17,790.58 = 7,226.53 : x
  2. Step 2: Convert to fraction form
    12,890.82/17,790.58 = 7,226.53/x
  3. Step 3: Cross multiply
    12,890.82x = 17,790.58 × 7,226.53
  4. Step 4: Simplify right side
    12,890.82x = 128,564,160.09
  5. Step 5: Solve for x
    x = 128,564,160.09/12,890.82
  6. Step 6: Final answer
    x = 9,973.31

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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.