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Finding the Fourth Proportional to 7,702.16, 10,628.96 and 4,165.43

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Solution

The fourth proportional to 7,702.16, 10,628.96 and 4,165.43 is: 5,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.16 : 10,628.96 = 4,165.43 : x
  2. Step 2: Convert to fraction form
    7,702.16/10,628.96 = 4,165.43/x
  3. Step 3: Cross multiply
    7,702.16x = 10,628.96 × 4,165.43
  4. Step 4: Simplify right side
    7,702.16x = 44,274,114.88
  5. Step 5: Solve for x
    x = 44,274,114.88/7,702.16
  6. Step 6: Final answer
    x = 5,748.28

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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.