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Finding the Fourth Proportional to 8,142.48, 12,214.53 and 2,299.14

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Solution

The fourth proportional to 8,142.48, 12,214.53 and 2,299.14 is: 3,448.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.48 : 12,214.53 = 2,299.14 : x
  2. Step 2: Convert to fraction form
    8,142.48/12,214.53 = 2,299.14/x
  3. Step 3: Cross multiply
    8,142.48x = 12,214.53 × 2,299.14
  4. Step 4: Simplify right side
    8,142.48x = 28,082,914.50
  5. Step 5: Solve for x
    x = 28,082,914.50/8,142.48
  6. Step 6: Final answer
    x = 3,448.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.