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Finding the Fourth Proportional to 8,406.88, 12,600.60 and 5,938

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Solution

The fourth proportional to 8,406.88, 12,600.60 and 5,938 is: 8,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.88 : 12,600.60 = 5,938 : x
  2. Step 2: Convert to fraction form
    8,406.88/12,600.60 = 5,938/x
  3. Step 3: Cross multiply
    8,406.88x = 12,600.60 × 5,938
  4. Step 4: Simplify right side
    8,406.88x = 74,822,362.80
  5. Step 5: Solve for x
    x = 74,822,362.80/8,406.88
  6. Step 6: Final answer
    x = 8,900.13

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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.