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Finding the Fourth Proportional to 8,137.60, 11,230.05 and 4,600.78

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Solution

The fourth proportional to 8,137.60, 11,230.05 and 4,600.78 is: 6,349.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.60 : 11,230.05 = 4,600.78 : x
  2. Step 2: Convert to fraction form
    8,137.60/11,230.05 = 4,600.78/x
  3. Step 3: Cross multiply
    8,137.60x = 11,230.05 × 4,600.78
  4. Step 4: Simplify right side
    8,137.60x = 51,666,989.44
  5. Step 5: Solve for x
    x = 51,666,989.44/8,137.60
  6. Step 6: Final answer
    x = 6,349.17

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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.