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Finding the Fourth Proportional to 7,755.21, 10,702.19 and 4,218.41

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Solution

The fourth proportional to 7,755.21, 10,702.19 and 4,218.41 is: 5,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.21 : 10,702.19 = 4,218.41 : x
  2. Step 2: Convert to fraction form
    7,755.21/10,702.19 = 4,218.41/x
  3. Step 3: Cross multiply
    7,755.21x = 10,702.19 × 4,218.41
  4. Step 4: Simplify right side
    7,755.21x = 45,146,262.62
  5. Step 5: Solve for x
    x = 45,146,262.62/7,755.21
  6. Step 6: Final answer
    x = 5,821.41

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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.