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Finding the Fourth Proportional to 10,523.93, 14,519.20 and 8,102.03

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Solution

The fourth proportional to 10,523.93, 14,519.20 and 8,102.03 is: 11,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.93 : 14,519.20 = 8,102.03 : x
  2. Step 2: Convert to fraction form
    10,523.93/14,519.20 = 8,102.03/x
  3. Step 3: Cross multiply
    10,523.93x = 14,519.20 × 8,102.03
  4. Step 4: Simplify right side
    10,523.93x = 117,634,987.89
  5. Step 5: Solve for x
    x = 117,634,987.89/10,523.93
  6. Step 6: Final answer
    x = 11,177.86

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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.