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Finding the Fourth Proportional to 7,640.64, 10,543.32 and 4,657.20

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Solution

The fourth proportional to 7,640.64, 10,543.32 and 4,657.20 is: 6,426.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.64 : 10,543.32 = 4,657.20 : x
  2. Step 2: Convert to fraction form
    7,640.64/10,543.32 = 4,657.20/x
  3. Step 3: Cross multiply
    7,640.64x = 10,543.32 × 4,657.20
  4. Step 4: Simplify right side
    7,640.64x = 49,102,349.90
  5. Step 5: Solve for x
    x = 49,102,349.90/7,640.64
  6. Step 6: Final answer
    x = 6,426.47

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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.