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Finding the Fourth Proportional to 10,223.16, 14,107.92 and 5,977.14

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Solution

The fourth proportional to 10,223.16, 14,107.92 and 5,977.14 is: 8,248.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.16 : 14,107.92 = 5,977.14 : x
  2. Step 2: Convert to fraction form
    10,223.16/14,107.92 = 5,977.14/x
  3. Step 3: Cross multiply
    10,223.16x = 14,107.92 × 5,977.14
  4. Step 4: Simplify right side
    10,223.16x = 84,325,012.95
  5. Step 5: Solve for x
    x = 84,325,012.95/10,223.16
  6. Step 6: Final answer
    x = 8,248.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.