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Finding the Fourth Proportional to 7,640.07, 11,464.31 and 3,200.92

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Solution

The fourth proportional to 7,640.07, 11,464.31 and 3,200.92 is: 4,803.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.07 : 11,464.31 = 3,200.92 : x
  2. Step 2: Convert to fraction form
    7,640.07/11,464.31 = 3,200.92/x
  3. Step 3: Cross multiply
    7,640.07x = 11,464.31 × 3,200.92
  4. Step 4: Simplify right side
    7,640.07x = 36,696,339.17
  5. Step 5: Solve for x
    x = 36,696,339.17/7,640.07
  6. Step 6: Final answer
    x = 4,803.14

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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.