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Finding the Fourth Proportional to 11,820.71, 16,311.29 and 6,514.50

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Solution

The fourth proportional to 11,820.71, 16,311.29 and 6,514.50 is: 8,989.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.71 : 16,311.29 = 6,514.50 : x
  2. Step 2: Convert to fraction form
    11,820.71/16,311.29 = 6,514.50/x
  3. Step 3: Cross multiply
    11,820.71x = 16,311.29 × 6,514.50
  4. Step 4: Simplify right side
    11,820.71x = 106,259,866.13
  5. Step 5: Solve for x
    x = 106,259,866.13/11,820.71
  6. Step 6: Final answer
    x = 8,989.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.