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Finding the Fourth Proportional to 13,887.32, 19,164.56 and 7,919.10

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Solution

The fourth proportional to 13,887.32, 19,164.56 and 7,919.10 is: 10,928.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,887.32 : 19,164.56 = 7,919.10 : x
  2. Step 2: Convert to fraction form
    13,887.32/19,164.56 = 7,919.10/x
  3. Step 3: Cross multiply
    13,887.32x = 19,164.56 × 7,919.10
  4. Step 4: Simplify right side
    13,887.32x = 151,766,027.50
  5. Step 5: Solve for x
    x = 151,766,027.50/13,887.32
  6. Step 6: Final answer
    x = 10,928.39

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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.