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Finding the Fourth Proportional to 11,236.50, 16,854.69 and 2,916.51

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Solution

The fourth proportional to 11,236.50, 16,854.69 and 2,916.51 is: 4,374.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,236.50 : 16,854.69 = 2,916.51 : x
  2. Step 2: Convert to fraction form
    11,236.50/16,854.69 = 2,916.51/x
  3. Step 3: Cross multiply
    11,236.50x = 16,854.69 × 2,916.51
  4. Step 4: Simplify right side
    11,236.50x = 49,156,871.93
  5. Step 5: Solve for x
    x = 49,156,871.93/11,236.50
  6. Step 6: Final answer
    x = 4,374.75

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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.