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Finding the Fourth Proportional to 10,712.68, 14,781.74 and 6,730.97

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Solution

The fourth proportional to 10,712.68, 14,781.74 and 6,730.97 is: 9,287.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,712.68 : 14,781.74 = 6,730.97 : x
  2. Step 2: Convert to fraction form
    10,712.68/14,781.74 = 6,730.97/x
  3. Step 3: Cross multiply
    10,712.68x = 14,781.74 × 6,730.97
  4. Step 4: Simplify right side
    10,712.68x = 99,495,396.36
  5. Step 5: Solve for x
    x = 99,495,396.36/10,712.68
  6. Step 6: Final answer
    x = 9,287.63

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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.