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Finding the Fourth Proportional to 8,543.34, 12,800.43 and 4,640.76

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Solution

The fourth proportional to 8,543.34, 12,800.43 and 4,640.76 is: 6,953.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.34 : 12,800.43 = 4,640.76 : x
  2. Step 2: Convert to fraction form
    8,543.34/12,800.43 = 4,640.76/x
  3. Step 3: Cross multiply
    8,543.34x = 12,800.43 × 4,640.76
  4. Step 4: Simplify right side
    8,543.34x = 59,403,723.53
  5. Step 5: Solve for x
    x = 59,403,723.53/8,543.34
  6. Step 6: Final answer
    x = 6,953.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.