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Finding the Fourth Proportional to 7,702.34, 10,629.19 and 4,165.55

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Solution

The fourth proportional to 7,702.34, 10,629.19 and 4,165.55 is: 5,748.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.34 : 10,629.19 = 4,165.55 : x
  2. Step 2: Convert to fraction form
    7,702.34/10,629.19 = 4,165.55/x
  3. Step 3: Cross multiply
    7,702.34x = 10,629.19 × 4,165.55
  4. Step 4: Simplify right side
    7,702.34x = 44,276,414.32
  5. Step 5: Solve for x
    x = 44,276,414.32/7,702.34
  6. Step 6: Final answer
    x = 5,748.44

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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.