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Finding the Fourth Proportional to 28,131.41, 42,195.98 and 7,071.62

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Solution

The fourth proportional to 28,131.41, 42,195.98 and 7,071.62 is: 10,607.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,131.41 : 42,195.98 = 7,071.62 : x
  2. Step 2: Convert to fraction form
    28,131.41/42,195.98 = 7,071.62/x
  3. Step 3: Cross multiply
    28,131.41x = 42,195.98 × 7,071.62
  4. Step 4: Simplify right side
    28,131.41x = 298,393,742.79
  5. Step 5: Solve for x
    x = 298,393,742.79/28,131.41
  6. Step 6: Final answer
    x = 10,607.14

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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.