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Finding the Fourth Proportional to 10,666.20, 15,999.71 and 4,093.05

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Solution

The fourth proportional to 10,666.20, 15,999.71 and 4,093.05 is: 6,139.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,666.20 : 15,999.71 = 4,093.05 : x
  2. Step 2: Convert to fraction form
    10,666.20/15,999.71 = 4,093.05/x
  3. Step 3: Cross multiply
    10,666.20x = 15,999.71 × 4,093.05
  4. Step 4: Simplify right side
    10,666.20x = 65,487,592.55
  5. Step 5: Solve for x
    x = 65,487,592.55/10,666.20
  6. Step 6: Final answer
    x = 6,139.73

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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.