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Finding the Fourth Proportional to 7,755.21, 10,702.43 and 4,398.16

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Solution

The fourth proportional to 7,755.21, 10,702.43 and 4,398.16 is: 6,069.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.21 : 10,702.43 = 4,398.16 : x
  2. Step 2: Convert to fraction form
    7,755.21/10,702.43 = 4,398.16/x
  3. Step 3: Cross multiply
    7,755.21x = 10,702.43 × 4,398.16
  4. Step 4: Simplify right side
    7,755.21x = 47,070,999.53
  5. Step 5: Solve for x
    x = 47,070,999.53/7,755.21
  6. Step 6: Final answer
    x = 6,069.60

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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.