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Finding the Fourth Proportional to 10,715.22, 16,050.42 and 6,800.22

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Solution

The fourth proportional to 10,715.22, 16,050.42 and 6,800.22 is: 10,186.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.22 : 16,050.42 = 6,800.22 : x
  2. Step 2: Convert to fraction form
    10,715.22/16,050.42 = 6,800.22/x
  3. Step 3: Cross multiply
    10,715.22x = 16,050.42 × 6,800.22
  4. Step 4: Simplify right side
    10,715.22x = 109,146,387.09
  5. Step 5: Solve for x
    x = 109,146,387.09/10,715.22
  6. Step 6: Final answer
    x = 10,186.11

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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.