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Finding the Fourth Proportional to 12,260.16, 16,916.46 and 8,017.44

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Solution

The fourth proportional to 12,260.16, 16,916.46 and 8,017.44 is: 11,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,260.16 : 16,916.46 = 8,017.44 : x
  2. Step 2: Convert to fraction form
    12,260.16/16,916.46 = 8,017.44/x
  3. Step 3: Cross multiply
    12,260.16x = 16,916.46 × 8,017.44
  4. Step 4: Simplify right side
    12,260.16x = 135,626,703.06
  5. Step 5: Solve for x
    x = 135,626,703.06/12,260.16
  6. Step 6: Final answer
    x = 11,062.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.