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Finding the Fourth Proportional to 11,014.10, 15,199.48 and 5,978.32

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Solution

The fourth proportional to 11,014.10, 15,199.48 and 5,978.32 is: 8,250.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,014.10 : 15,199.48 = 5,978.32 : x
  2. Step 2: Convert to fraction form
    11,014.10/15,199.48 = 5,978.32/x
  3. Step 3: Cross multiply
    11,014.10x = 15,199.48 × 5,978.32
  4. Step 4: Simplify right side
    11,014.10x = 90,867,363.38
  5. Step 5: Solve for x
    x = 90,867,363.38/11,014.10
  6. Step 6: Final answer
    x = 8,250.09

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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.