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Finding the Fourth Proportional to 10,199.21, 15,265.98 and 5,262.05

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Solution

The fourth proportional to 10,199.21, 15,265.98 and 5,262.05 is: 7,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,199.21 : 15,265.98 = 5,262.05 : x
  2. Step 2: Convert to fraction form
    10,199.21/15,265.98 = 5,262.05/x
  3. Step 3: Cross multiply
    10,199.21x = 15,265.98 × 5,262.05
  4. Step 4: Simplify right side
    10,199.21x = 80,330,350.06
  5. Step 5: Solve for x
    x = 80,330,350.06/10,199.21
  6. Step 6: Final answer
    x = 7,876.13

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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.