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Finding the Fourth Proportional to 8,237.16, 12,354.12 and 2,233.13

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Solution

The fourth proportional to 8,237.16, 12,354.12 and 2,233.13 is: 3,349.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,237.16 : 12,354.12 = 2,233.13 : x
  2. Step 2: Convert to fraction form
    8,237.16/12,354.12 = 2,233.13/x
  3. Step 3: Cross multiply
    8,237.16x = 12,354.12 × 2,233.13
  4. Step 4: Simplify right side
    8,237.16x = 27,588,294.23
  5. Step 5: Solve for x
    x = 27,588,294.23/8,237.16
  6. Step 6: Final answer
    x = 3,349.25

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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.