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Finding the Fourth Proportional to 10,079.36, 15,116.48 and 3,920

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Solution

The fourth proportional to 10,079.36, 15,116.48 and 3,920 is: 5,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,079.36 : 15,116.48 = 3,920 : x
  2. Step 2: Convert to fraction form
    10,079.36/15,116.48 = 3,920/x
  3. Step 3: Cross multiply
    10,079.36x = 15,116.48 × 3,920
  4. Step 4: Simplify right side
    10,079.36x = 59,256,601.60
  5. Step 5: Solve for x
    x = 59,256,601.60/10,079.36
  6. Step 6: Final answer
    x = 5,879.00

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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.