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Finding the Fourth Proportional to 7,297.34, 10,069.24 and 4,110.18

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Solution

The fourth proportional to 7,297.34, 10,069.24 and 4,110.18 is: 5,671.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.34 : 10,069.24 = 4,110.18 : x
  2. Step 2: Convert to fraction form
    7,297.34/10,069.24 = 4,110.18/x
  3. Step 3: Cross multiply
    7,297.34x = 10,069.24 × 4,110.18
  4. Step 4: Simplify right side
    7,297.34x = 41,386,388.86
  5. Step 5: Solve for x
    x = 41,386,388.86/7,297.34
  6. Step 6: Final answer
    x = 5,671.43

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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.