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Finding the Fourth Proportional to 6,978.08, 10,464.11 and 2,592.32

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Solution

The fourth proportional to 6,978.08, 10,464.11 and 2,592.32 is: 3,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,978.08 : 10,464.11 = 2,592.32 : x
  2. Step 2: Convert to fraction form
    6,978.08/10,464.11 = 2,592.32/x
  3. Step 3: Cross multiply
    6,978.08x = 10,464.11 × 2,592.32
  4. Step 4: Simplify right side
    6,978.08x = 27,126,321.64
  5. Step 5: Solve for x
    x = 27,126,321.64/6,978.08
  6. Step 6: Final answer
    x = 3,887.36

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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.