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Finding the Fourth Proportional to 11,512.30, 15,887.04 and 6,798.90

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Solution

The fourth proportional to 11,512.30, 15,887.04 and 6,798.90 is: 9,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,512.30 : 15,887.04 = 6,798.90 : x
  2. Step 2: Convert to fraction form
    11,512.30/15,887.04 = 6,798.90/x
  3. Step 3: Cross multiply
    11,512.30x = 15,887.04 × 6,798.90
  4. Step 4: Simplify right side
    11,512.30x = 108,014,396.26
  5. Step 5: Solve for x
    x = 108,014,396.26/11,512.30
  6. Step 6: Final answer
    x = 9,382.52

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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.