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Finding the Fourth Proportional to 11,627.50, 16,045.28 and 6,322.28

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Solution

The fourth proportional to 11,627.50, 16,045.28 and 6,322.28 is: 8,724.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,627.50 : 16,045.28 = 6,322.28 : x
  2. Step 2: Convert to fraction form
    11,627.50/16,045.28 = 6,322.28/x
  3. Step 3: Cross multiply
    11,627.50x = 16,045.28 × 6,322.28
  4. Step 4: Simplify right side
    11,627.50x = 101,442,752.84
  5. Step 5: Solve for x
    x = 101,442,752.84/11,627.50
  6. Step 6: Final answer
    x = 8,724.38

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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.