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Finding the Fourth Proportional to 7,433.56, 10,255.98 and 4,640.68

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Solution

The fourth proportional to 7,433.56, 10,255.98 and 4,640.68 is: 6,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,433.56 : 10,255.98 = 4,640.68 : x
  2. Step 2: Convert to fraction form
    7,433.56/10,255.98 = 4,640.68/x
  3. Step 3: Cross multiply
    7,433.56x = 10,255.98 × 4,640.68
  4. Step 4: Simplify right side
    7,433.56x = 47,594,721.27
  5. Step 5: Solve for x
    x = 47,594,721.27/7,433.56
  6. Step 6: Final answer
    x = 6,402.68

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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.