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Finding the Fourth Proportional to 7,640.60, 10,543.37 and 4,657.37

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Solution

The fourth proportional to 7,640.60, 10,543.37 and 4,657.37 is: 6,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.60 : 10,543.37 = 4,657.37 : x
  2. Step 2: Convert to fraction form
    7,640.60/10,543.37 = 4,657.37/x
  3. Step 3: Cross multiply
    7,640.60x = 10,543.37 × 4,657.37
  4. Step 4: Simplify right side
    7,640.60x = 49,104,299.13
  5. Step 5: Solve for x
    x = 49,104,299.13/7,640.60
  6. Step 6: Final answer
    x = 6,426.76

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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.