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Finding the Fourth Proportional to 10,261.88, 14,161.48 and 6,012

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Solution

The fourth proportional to 10,261.88, 14,161.48 and 6,012 is: 8,296.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,261.88 : 14,161.48 = 6,012 : x
  2. Step 2: Convert to fraction form
    10,261.88/14,161.48 = 6,012/x
  3. Step 3: Cross multiply
    10,261.88x = 14,161.48 × 6,012
  4. Step 4: Simplify right side
    10,261.88x = 85,138,817.76
  5. Step 5: Solve for x
    x = 85,138,817.76/10,261.88
  6. Step 6: Final answer
    x = 8,296.61

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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.