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Finding the Fourth Proportional to 10,270.02, 15,402.67 and 2,874.99

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Solution

The fourth proportional to 10,270.02, 15,402.67 and 2,874.99 is: 4,311.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.02 : 15,402.67 = 2,874.99 : x
  2. Step 2: Convert to fraction form
    10,270.02/15,402.67 = 2,874.99/x
  3. Step 3: Cross multiply
    10,270.02x = 15,402.67 × 2,874.99
  4. Step 4: Simplify right side
    10,270.02x = 44,282,522.22
  5. Step 5: Solve for x
    x = 44,282,522.22/10,270.02
  6. Step 6: Final answer
    x = 4,311.82

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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.