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Finding the Fourth Proportional to 7,608.87, 11,407.77 and 5,137.56

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Solution

The fourth proportional to 7,608.87, 11,407.77 and 5,137.56 is: 7,702.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,608.87 : 11,407.77 = 5,137.56 : x
  2. Step 2: Convert to fraction form
    7,608.87/11,407.77 = 5,137.56/x
  3. Step 3: Cross multiply
    7,608.87x = 11,407.77 × 5,137.56
  4. Step 4: Simplify right side
    7,608.87x = 58,608,102.84
  5. Step 5: Solve for x
    x = 58,608,102.84/7,608.87
  6. Step 6: Final answer
    x = 7,702.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.