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Finding the Fourth Proportional to 10,690.01, 16,041.92 and 5,763.08

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Solution

The fourth proportional to 10,690.01, 16,041.92 and 5,763.08 is: 8,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.01 : 16,041.92 = 5,763.08 : x
  2. Step 2: Convert to fraction form
    10,690.01/16,041.92 = 5,763.08/x
  3. Step 3: Cross multiply
    10,690.01x = 16,041.92 × 5,763.08
  4. Step 4: Simplify right side
    10,690.01x = 92,450,879.60
  5. Step 5: Solve for x
    x = 92,450,879.60/10,690.01
  6. Step 6: Final answer
    x = 8,648.34

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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.