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Finding the Fourth Proportional to 12,408.73, 17,120.16 and 7,102.53

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Solution

The fourth proportional to 12,408.73, 17,120.16 and 7,102.53 is: 9,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,408.73 : 17,120.16 = 7,102.53 : x
  2. Step 2: Convert to fraction form
    12,408.73/17,120.16 = 7,102.53/x
  3. Step 3: Cross multiply
    12,408.73x = 17,120.16 × 7,102.53
  4. Step 4: Simplify right side
    12,408.73x = 121,596,450.00
  5. Step 5: Solve for x
    x = 121,596,450.00/12,408.73
  6. Step 6: Final answer
    x = 9,799.27

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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.