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Finding the Fourth Proportional to 7,187.81, 9,915.90 and 5,195.21

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Solution

The fourth proportional to 7,187.81, 9,915.90 and 5,195.21 is: 7,167.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,187.81 : 9,915.90 = 5,195.21 : x
  2. Step 2: Convert to fraction form
    7,187.81/9,915.90 = 5,195.21/x
  3. Step 3: Cross multiply
    7,187.81x = 9,915.90 × 5,195.21
  4. Step 4: Simplify right side
    7,187.81x = 51,515,182.84
  5. Step 5: Solve for x
    x = 51,515,182.84/7,187.81
  6. Step 6: Final answer
    x = 7,167.02

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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.