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Finding the Fourth Proportional to 10,640.92, 14,686.69 and 6,392.18

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Solution

The fourth proportional to 10,640.92, 14,686.69 and 6,392.18 is: 8,822.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.92 : 14,686.69 = 6,392.18 : x
  2. Step 2: Convert to fraction form
    10,640.92/14,686.69 = 6,392.18/x
  3. Step 3: Cross multiply
    10,640.92x = 14,686.69 × 6,392.18
  4. Step 4: Simplify right side
    10,640.92x = 93,879,966.08
  5. Step 5: Solve for x
    x = 93,879,966.08/10,640.92
  6. Step 6: Final answer
    x = 8,822.54

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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.