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Finding the Fourth Proportional to 11,787.52, 16,276.50 and 8,018.68

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Solution

The fourth proportional to 11,787.52, 16,276.50 and 8,018.68 is: 11,072.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,787.52 : 16,276.50 = 8,018.68 : x
  2. Step 2: Convert to fraction form
    11,787.52/16,276.50 = 8,018.68/x
  3. Step 3: Cross multiply
    11,787.52x = 16,276.50 × 8,018.68
  4. Step 4: Simplify right side
    11,787.52x = 130,516,045.02
  5. Step 5: Solve for x
    x = 130,516,045.02/11,787.52
  6. Step 6: Final answer
    x = 11,072.39

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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.