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Finding the Fourth Proportional to 28,131.78, 42,196.55 and 7,071.99

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Solution

The fourth proportional to 28,131.78, 42,196.55 and 7,071.99 is: 10,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.78 : 42,196.55 = 7,071.99 : x
  2. Step 2: Convert to fraction form
    28,131.78/42,196.55 = 7,071.99/x
  3. Step 3: Cross multiply
    28,131.78x = 42,196.55 × 7,071.99
  4. Step 4: Simplify right side
    28,131.78x = 298,413,544.27
  5. Step 5: Solve for x
    x = 298,413,544.27/28,131.78
  6. Step 6: Final answer
    x = 10,607.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.