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Finding the Fourth Proportional to 10,687.92, 16,024.16 and 4,023.40

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Solution

The fourth proportional to 10,687.92, 16,024.16 and 4,023.40 is: 6,032.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.92 : 16,024.16 = 4,023.40 : x
  2. Step 2: Convert to fraction form
    10,687.92/16,024.16 = 4,023.40/x
  3. Step 3: Cross multiply
    10,687.92x = 16,024.16 × 4,023.40
  4. Step 4: Simplify right side
    10,687.92x = 64,471,605.34
  5. Step 5: Solve for x
    x = 64,471,605.34/10,687.92
  6. Step 6: Final answer
    x = 6,032.19

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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.