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Finding the Fourth Proportional to 10,677.81, 16,000.01 and 8,042.28

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Solution

The fourth proportional to 10,677.81, 16,000.01 and 8,042.28 is: 12,050.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.81 : 16,000.01 = 8,042.28 : x
  2. Step 2: Convert to fraction form
    10,677.81/16,000.01 = 8,042.28/x
  3. Step 3: Cross multiply
    10,677.81x = 16,000.01 × 8,042.28
  4. Step 4: Simplify right side
    10,677.81x = 128,676,560.42
  5. Step 5: Solve for x
    x = 128,676,560.42/10,677.81
  6. Step 6: Final answer
    x = 12,050.84

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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.