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Finding the Fourth Proportional to 10,199.64, 15,299.46 and 5,266.62

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Solution

The fourth proportional to 10,199.64, 15,299.46 and 5,266.62 is: 7,899.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.64 : 15,299.46 = 5,266.62 : x
  2. Step 2: Convert to fraction form
    10,199.64/15,299.46 = 5,266.62/x
  3. Step 3: Cross multiply
    10,199.64x = 15,299.46 × 5,266.62
  4. Step 4: Simplify right side
    10,199.64x = 80,576,442.03
  5. Step 5: Solve for x
    x = 80,576,442.03/10,199.64
  6. Step 6: Final answer
    x = 7,899.93

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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.