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Finding the Fourth Proportional to 11,274.71, 16,916.18 and 5,353.41

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Solution

The fourth proportional to 11,274.71, 16,916.18 and 5,353.41 is: 8,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.71 : 16,916.18 = 5,353.41 : x
  2. Step 2: Convert to fraction form
    11,274.71/16,916.18 = 5,353.41/x
  3. Step 3: Cross multiply
    11,274.71x = 16,916.18 × 5,353.41
  4. Step 4: Simplify right side
    11,274.71x = 90,559,220.41
  5. Step 5: Solve for x
    x = 90,559,220.41/11,274.71
  6. Step 6: Final answer
    x = 8,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.