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Finding the Fourth Proportional to 10,095.85, 13,930.16 and 6,116.20

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Solution

The fourth proportional to 10,095.85, 13,930.16 and 6,116.20 is: 8,439.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,095.85 : 13,930.16 = 6,116.20 : x
  2. Step 2: Convert to fraction form
    10,095.85/13,930.16 = 6,116.20/x
  3. Step 3: Cross multiply
    10,095.85x = 13,930.16 × 6,116.20
  4. Step 4: Simplify right side
    10,095.85x = 85,199,619.80
  5. Step 5: Solve for x
    x = 85,199,619.80/10,095.85
  6. Step 6: Final answer
    x = 8,439.07

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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.