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Finding the Fourth Proportional to 11,443.89, 15,792.49 and 6,408.10

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Solution

The fourth proportional to 11,443.89, 15,792.49 and 6,408.10 is: 8,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,443.89 : 15,792.49 = 6,408.10 : x
  2. Step 2: Convert to fraction form
    11,443.89/15,792.49 = 6,408.10/x
  3. Step 3: Cross multiply
    11,443.89x = 15,792.49 × 6,408.10
  4. Step 4: Simplify right side
    11,443.89x = 101,199,855.17
  5. Step 5: Solve for x
    x = 101,199,855.17/11,443.89
  6. Step 6: Final answer
    x = 8,843.13

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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.