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Finding the Fourth Proportional to 10,690.70, 16,035.84 and 2,899.58

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Solution

The fourth proportional to 10,690.70, 16,035.84 and 2,899.58 is: 4,349.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.70 : 16,035.84 = 2,899.58 : x
  2. Step 2: Convert to fraction form
    10,690.70/16,035.84 = 2,899.58/x
  3. Step 3: Cross multiply
    10,690.70x = 16,035.84 × 2,899.58
  4. Step 4: Simplify right side
    10,690.70x = 46,497,120.77
  5. Step 5: Solve for x
    x = 46,497,120.77/10,690.70
  6. Step 6: Final answer
    x = 4,349.31

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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.