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Finding the Fourth Proportional to 10,570.60, 15,863.10 and 6,183.40

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Solution

The fourth proportional to 10,570.60, 15,863.10 and 6,183.40 is: 9,279.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,570.60 : 15,863.10 = 6,183.40 : x
  2. Step 2: Convert to fraction form
    10,570.60/15,863.10 = 6,183.40/x
  3. Step 3: Cross multiply
    10,570.60x = 15,863.10 × 6,183.40
  4. Step 4: Simplify right side
    10,570.60x = 98,087,892.54
  5. Step 5: Solve for x
    x = 98,087,892.54/10,570.60
  6. Step 6: Final answer
    x = 9,279.31

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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.