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Finding the Fourth Proportional to 10,837.50, 16,248.78 and 4,264.44

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Solution

The fourth proportional to 10,837.50, 16,248.78 and 4,264.44 is: 6,393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,837.50 : 16,248.78 = 4,264.44 : x
  2. Step 2: Convert to fraction form
    10,837.50/16,248.78 = 4,264.44/x
  3. Step 3: Cross multiply
    10,837.50x = 16,248.78 × 4,264.44
  4. Step 4: Simplify right side
    10,837.50x = 69,291,947.38
  5. Step 5: Solve for x
    x = 69,291,947.38/10,837.50
  6. Step 6: Final answer
    x = 6,393.72

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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.