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Finding the Fourth Proportional to 7,897.42, 11,846.10 and 3,216.38

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Solution

The fourth proportional to 7,897.42, 11,846.10 and 3,216.38 is: 4,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,897.42 : 11,846.10 = 3,216.38 : x
  2. Step 2: Convert to fraction form
    7,897.42/11,846.10 = 3,216.38/x
  3. Step 3: Cross multiply
    7,897.42x = 11,846.10 × 3,216.38
  4. Step 4: Simplify right side
    7,897.42x = 38,101,559.12
  5. Step 5: Solve for x
    x = 38,101,559.12/7,897.42
  6. Step 6: Final answer
    x = 4,824.56

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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.