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Finding the Fourth Proportional to 6,897.75, 10,333.61 and 4,078.17

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Solution

The fourth proportional to 6,897.75, 10,333.61 and 4,078.17 is: 6,109.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.75 : 10,333.61 = 4,078.17 : x
  2. Step 2: Convert to fraction form
    6,897.75/10,333.61 = 4,078.17/x
  3. Step 3: Cross multiply
    6,897.75x = 10,333.61 × 4,078.17
  4. Step 4: Simplify right side
    6,897.75x = 42,142,218.29
  5. Step 5: Solve for x
    x = 42,142,218.29/6,897.75
  6. Step 6: Final answer
    x = 6,109.56

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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.