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Finding the Fourth Proportional to 10,690.85, 16,043.16 and 5,763.93

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Solution

The fourth proportional to 10,690.85, 16,043.16 and 5,763.93 is: 8,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.85 : 16,043.16 = 5,763.93 : x
  2. Step 2: Convert to fraction form
    10,690.85/16,043.16 = 5,763.93/x
  3. Step 3: Cross multiply
    10,690.85x = 16,043.16 × 5,763.93
  4. Step 4: Simplify right side
    10,690.85x = 92,471,612.67
  5. Step 5: Solve for x
    x = 92,471,612.67/10,690.85
  6. Step 6: Final answer
    x = 8,649.60

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