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Finding the Fourth Proportional to 10,777.95, 16,160.46 and 4,196.43

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Solution

The fourth proportional to 10,777.95, 16,160.46 and 4,196.43 is: 6,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.95 : 16,160.46 = 4,196.43 : x
  2. Step 2: Convert to fraction form
    10,777.95/16,160.46 = 4,196.43/x
  3. Step 3: Cross multiply
    10,777.95x = 16,160.46 × 4,196.43
  4. Step 4: Simplify right side
    10,777.95x = 67,816,239.16
  5. Step 5: Solve for x
    x = 67,816,239.16/10,777.95
  6. Step 6: Final answer
    x = 6,292.13

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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.