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Finding the Fourth Proportional to 7,182.54, 9,915.21 and 4,197.42

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Solution

The fourth proportional to 7,182.54, 9,915.21 and 4,197.42 is: 5,794.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.54 : 9,915.21 = 4,197.42 : x
  2. Step 2: Convert to fraction form
    7,182.54/9,915.21 = 4,197.42/x
  3. Step 3: Cross multiply
    7,182.54x = 9,915.21 × 4,197.42
  4. Step 4: Simplify right side
    7,182.54x = 41,618,300.76
  5. Step 5: Solve for x
    x = 41,618,300.76/7,182.54
  6. Step 6: Final answer
    x = 5,794.37

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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.