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Finding the Fourth Proportional to 7,640.76, 10,542.65 and 4,992.06

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Solution

The fourth proportional to 7,640.76, 10,542.65 and 4,992.06 is: 6,887.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.76 : 10,542.65 = 4,992.06 : x
  2. Step 2: Convert to fraction form
    7,640.76/10,542.65 = 4,992.06/x
  3. Step 3: Cross multiply
    7,640.76x = 10,542.65 × 4,992.06
  4. Step 4: Simplify right side
    7,640.76x = 52,629,516.40
  5. Step 5: Solve for x
    x = 52,629,516.40/7,640.76
  6. Step 6: Final answer
    x = 6,887.99

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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.