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Finding the Fourth Proportional to 10,701.92, 14,766.27 and 6,721.58

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Solution

The fourth proportional to 10,701.92, 14,766.27 and 6,721.58 is: 9,274.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.92 : 14,766.27 = 6,721.58 : x
  2. Step 2: Convert to fraction form
    10,701.92/14,766.27 = 6,721.58/x
  3. Step 3: Cross multiply
    10,701.92x = 14,766.27 × 6,721.58
  4. Step 4: Simplify right side
    10,701.92x = 99,252,665.11
  5. Step 5: Solve for x
    x = 99,252,665.11/10,701.92
  6. Step 6: Final answer
    x = 9,274.29

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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.