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Finding the Fourth Proportional to 6,666.57, 10,000.19 and 2,969.06

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Solution

The fourth proportional to 6,666.57, 10,000.19 and 2,969.06 is: 4,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.57 : 10,000.19 = 2,969.06 : x
  2. Step 2: Convert to fraction form
    6,666.57/10,000.19 = 2,969.06/x
  3. Step 3: Cross multiply
    6,666.57x = 10,000.19 × 2,969.06
  4. Step 4: Simplify right side
    6,666.57x = 29,691,164.12
  5. Step 5: Solve for x
    x = 29,691,164.12/6,666.57
  6. Step 6: Final answer
    x = 4,453.74

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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.