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Finding the Fourth Proportional to 8,664.57, 11,960.34 and 6,746.59

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Solution

The fourth proportional to 8,664.57, 11,960.34 and 6,746.59 is: 9,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,664.57 : 11,960.34 = 6,746.59 : x
  2. Step 2: Convert to fraction form
    8,664.57/11,960.34 = 6,746.59/x
  3. Step 3: Cross multiply
    8,664.57x = 11,960.34 × 6,746.59
  4. Step 4: Simplify right side
    8,664.57x = 80,691,557.01
  5. Step 5: Solve for x
    x = 80,691,557.01/8,664.57
  6. Step 6: Final answer
    x = 9,312.82

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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.