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Finding the Fourth Proportional to 11,408.16, 15,733.68 and 9,046.56

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Solution

The fourth proportional to 11,408.16, 15,733.68 and 9,046.56 is: 12,476.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,408.16 : 15,733.68 = 9,046.56 : x
  2. Step 2: Convert to fraction form
    11,408.16/15,733.68 = 9,046.56/x
  3. Step 3: Cross multiply
    11,408.16x = 15,733.68 × 9,046.56
  4. Step 4: Simplify right side
    11,408.16x = 142,335,680.14
  5. Step 5: Solve for x
    x = 142,335,680.14/11,408.16
  6. Step 6: Final answer
    x = 12,476.66

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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.