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Finding the Fourth Proportional to 8,342.02, 11,515.53 and 5,199.76

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Solution

The fourth proportional to 8,342.02, 11,515.53 and 5,199.76 is: 7,177.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,342.02 : 11,515.53 = 5,199.76 : x
  2. Step 2: Convert to fraction form
    8,342.02/11,515.53 = 5,199.76/x
  3. Step 3: Cross multiply
    8,342.02x = 11,515.53 × 5,199.76
  4. Step 4: Simplify right side
    8,342.02x = 59,877,992.27
  5. Step 5: Solve for x
    x = 59,877,992.27/8,342.02
  6. Step 6: Final answer
    x = 7,177.88

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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.