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Finding the Fourth Proportional to 7,702.89, 10,626.55 and 4,557.25

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Solution

The fourth proportional to 7,702.89, 10,626.55 and 4,557.25 is: 6,286.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,702.89 : 10,626.55 = 4,557.25 : x
  2. Step 2: Convert to fraction form
    7,702.89/10,626.55 = 4,557.25/x
  3. Step 3: Cross multiply
    7,702.89x = 10,626.55 × 4,557.25
  4. Step 4: Simplify right side
    7,702.89x = 48,427,844.99
  5. Step 5: Solve for x
    x = 48,427,844.99/7,702.89
  6. Step 6: Final answer
    x = 6,286.97

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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.