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Finding the Fourth Proportional to 10,666.74, 16,000.11 and 2,876.34

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Solution

The fourth proportional to 10,666.74, 16,000.11 and 2,876.34 is: 4,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.74 : 16,000.11 = 2,876.34 : x
  2. Step 2: Convert to fraction form
    10,666.74/16,000.11 = 2,876.34/x
  3. Step 3: Cross multiply
    10,666.74x = 16,000.11 × 2,876.34
  4. Step 4: Simplify right side
    10,666.74x = 46,021,756.40
  5. Step 5: Solve for x
    x = 46,021,756.40/10,666.74
  6. Step 6: Final answer
    x = 4,314.51

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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.