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Finding the Fourth Proportional to 10,172.17, 14,035.96 and 5,696.11

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Solution

The fourth proportional to 10,172.17, 14,035.96 and 5,696.11 is: 7,859.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,172.17 : 14,035.96 = 5,696.11 : x
  2. Step 2: Convert to fraction form
    10,172.17/14,035.96 = 5,696.11/x
  3. Step 3: Cross multiply
    10,172.17x = 14,035.96 × 5,696.11
  4. Step 4: Simplify right side
    10,172.17x = 79,950,372.12
  5. Step 5: Solve for x
    x = 79,950,372.12/10,172.17
  6. Step 6: Final answer
    x = 7,859.72

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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.