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Finding the Fourth Proportional to 11,916.89, 16,447.28 and 6,613.41

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Solution

The fourth proportional to 11,916.89, 16,447.28 and 6,613.41 is: 9,127.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.89 : 16,447.28 = 6,613.41 : x
  2. Step 2: Convert to fraction form
    11,916.89/16,447.28 = 6,613.41/x
  3. Step 3: Cross multiply
    11,916.89x = 16,447.28 × 6,613.41
  4. Step 4: Simplify right side
    11,916.89x = 108,772,572.96
  5. Step 5: Solve for x
    x = 108,772,572.96/11,916.89
  6. Step 6: Final answer
    x = 9,127.60

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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.