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Finding the Fourth Proportional to 11,884.98, 16,408.74 and 7,637.94

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Solution

The fourth proportional to 11,884.98, 16,408.74 and 7,637.94 is: 10,545.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,884.98 : 16,408.74 = 7,637.94 : x
  2. Step 2: Convert to fraction form
    11,884.98/16,408.74 = 7,637.94/x
  3. Step 3: Cross multiply
    11,884.98x = 16,408.74 × 7,637.94
  4. Step 4: Simplify right side
    11,884.98x = 125,328,971.60
  5. Step 5: Solve for x
    x = 125,328,971.60/11,884.98
  6. Step 6: Final answer
    x = 10,545.16

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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.