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Finding the Fourth Proportional to 10,690.83, 16,036.25 and 2,899.44

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Solution

The fourth proportional to 10,690.83, 16,036.25 and 2,899.44 is: 4,349.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,690.83 : 16,036.25 = 2,899.44 : x
  2. Step 2: Convert to fraction form
    10,690.83/16,036.25 = 2,899.44/x
  3. Step 3: Cross multiply
    10,690.83x = 16,036.25 × 2,899.44
  4. Step 4: Simplify right side
    10,690.83x = 46,496,130.20
  5. Step 5: Solve for x
    x = 46,496,130.20/10,690.83
  6. Step 6: Final answer
    x = 4,349.16

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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.