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Finding the Fourth Proportional to 8,324.37, 11,488.16 and 4,787.50

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Solution

The fourth proportional to 8,324.37, 11,488.16 and 4,787.50 is: 6,607.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.37 : 11,488.16 = 4,787.50 : x
  2. Step 2: Convert to fraction form
    8,324.37/11,488.16 = 4,787.50/x
  3. Step 3: Cross multiply
    8,324.37x = 11,488.16 × 4,787.50
  4. Step 4: Simplify right side
    8,324.37x = 54,999,542.06
  5. Step 5: Solve for x
    x = 54,999,542.06/8,324.37
  6. Step 6: Final answer
    x = 6,607.06

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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.