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Finding the Fourth Proportional to 10,659.92, 14,712.56 and 6,684.44

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Solution

The fourth proportional to 10,659.92, 14,712.56 and 6,684.44 is: 9,225.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,659.92 : 14,712.56 = 6,684.44 : x
  2. Step 2: Convert to fraction form
    10,659.92/14,712.56 = 6,684.44/x
  3. Step 3: Cross multiply
    10,659.92x = 14,712.56 × 6,684.44
  4. Step 4: Simplify right side
    10,659.92x = 98,345,224.57
  5. Step 5: Solve for x
    x = 98,345,224.57/10,659.92
  6. Step 6: Final answer
    x = 9,225.70

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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.