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Finding the Fourth Proportional to 7,640.20, 11,444.10 and 6,182.20

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Solution

The fourth proportional to 7,640.20, 11,444.10 and 6,182.20 is: 9,260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.20 : 11,444.10 = 6,182.20 : x
  2. Step 2: Convert to fraction form
    7,640.20/11,444.10 = 6,182.20/x
  3. Step 3: Cross multiply
    7,640.20x = 11,444.10 × 6,182.20
  4. Step 4: Simplify right side
    7,640.20x = 70,749,715.02
  5. Step 5: Solve for x
    x = 70,749,715.02/7,640.20
  6. Step 6: Final answer
    x = 9,260.19

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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.