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Finding the Fourth Proportional to 10,690.32, 16,035.24 and 2,899.17

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Solution

The fourth proportional to 10,690.32, 16,035.24 and 2,899.17 is: 4,348.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.32 : 16,035.24 = 2,899.17 : x
  2. Step 2: Convert to fraction form
    10,690.32/16,035.24 = 2,899.17/x
  3. Step 3: Cross multiply
    10,690.32x = 16,035.24 × 2,899.17
  4. Step 4: Simplify right side
    10,690.32x = 46,488,886.75
  5. Step 5: Solve for x
    x = 46,488,886.75/10,690.32
  6. Step 6: Final answer
    x = 4,348.69

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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.