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Finding the Fourth Proportional to 7,640.34, 10,544.12 and 4,283.00

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Solution

The fourth proportional to 7,640.34, 10,544.12 and 4,283.00 is: 5,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.34 : 10,544.12 = 4,283.00 : x
  2. Step 2: Convert to fraction form
    7,640.34/10,544.12 = 4,283.00/x
  3. Step 3: Cross multiply
    7,640.34x = 10,544.12 × 4,283.00
  4. Step 4: Simplify right side
    7,640.34x = 45,160,391.82
  5. Step 5: Solve for x
    x = 45,160,391.82/7,640.34
  6. Step 6: Final answer
    x = 5,910.78

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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.