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Finding the Fourth Proportional to 7,411.82, 10,223.61 and 5,172.87

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Solution

The fourth proportional to 7,411.82, 10,223.61 and 5,172.87 is: 7,135.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.82 : 10,223.61 = 5,172.87 : x
  2. Step 2: Convert to fraction form
    7,411.82/10,223.61 = 5,172.87/x
  3. Step 3: Cross multiply
    7,411.82x = 10,223.61 × 5,172.87
  4. Step 4: Simplify right side
    7,411.82x = 52,885,424.40
  5. Step 5: Solve for x
    x = 52,885,424.40/7,411.82
  6. Step 6: Final answer
    x = 7,135.29

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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.