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Finding the Fourth Proportional to 10,085.99, 13,919.81 and 5,779.49

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Solution

The fourth proportional to 10,085.99, 13,919.81 and 5,779.49 is: 7,976.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.99 : 13,919.81 = 5,779.49 : x
  2. Step 2: Convert to fraction form
    10,085.99/13,919.81 = 5,779.49/x
  3. Step 3: Cross multiply
    10,085.99x = 13,919.81 × 5,779.49
  4. Step 4: Simplify right side
    10,085.99x = 80,449,304.20
  5. Step 5: Solve for x
    x = 80,449,304.20/10,085.99
  6. Step 6: Final answer
    x = 7,976.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.