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Finding the Fourth Proportional to 6,897.25, 10,257.71 and 6,823.44

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Solution

The fourth proportional to 6,897.25, 10,257.71 and 6,823.44 is: 10,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.25 : 10,257.71 = 6,823.44 : x
  2. Step 2: Convert to fraction form
    6,897.25/10,257.71 = 6,823.44/x
  3. Step 3: Cross multiply
    6,897.25x = 10,257.71 × 6,823.44
  4. Step 4: Simplify right side
    6,897.25x = 69,992,892.18
  5. Step 5: Solve for x
    x = 69,992,892.18/6,897.25
  6. Step 6: Final answer
    x = 10,147.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.