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Finding the Fourth Proportional to 10,722.29, 14,791.82 and 6,946.71

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Solution

The fourth proportional to 10,722.29, 14,791.82 and 6,946.71 is: 9,583.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.29 : 14,791.82 = 6,946.71 : x
  2. Step 2: Convert to fraction form
    10,722.29/14,791.82 = 6,946.71/x
  3. Step 3: Cross multiply
    10,722.29x = 14,791.82 × 6,946.71
  4. Step 4: Simplify right side
    10,722.29x = 102,754,483.91
  5. Step 5: Solve for x
    x = 102,754,483.91/10,722.29
  6. Step 6: Final answer
    x = 9,583.26

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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.