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Finding the Fourth Proportional to 10,695.42, 16,046.38 and 4,850.46

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Solution

The fourth proportional to 10,695.42, 16,046.38 and 4,850.46 is: 7,277.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,695.42 : 16,046.38 = 4,850.46 : x
  2. Step 2: Convert to fraction form
    10,695.42/16,046.38 = 4,850.46/x
  3. Step 3: Cross multiply
    10,695.42x = 16,046.38 × 4,850.46
  4. Step 4: Simplify right side
    10,695.42x = 77,832,324.33
  5. Step 5: Solve for x
    x = 77,832,324.33/10,695.42
  6. Step 6: Final answer
    x = 7,277.16

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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.