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Finding the Fourth Proportional to 7,602.13, 11,403.11 and 2,408.00

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Solution

The fourth proportional to 7,602.13, 11,403.11 and 2,408.00 is: 3,611.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,602.13 : 11,403.11 = 2,408.00 : x
  2. Step 2: Convert to fraction form
    7,602.13/11,403.11 = 2,408.00/x
  3. Step 3: Cross multiply
    7,602.13x = 11,403.11 × 2,408.00
  4. Step 4: Simplify right side
    7,602.13x = 27,458,723.41
  5. Step 5: Solve for x
    x = 27,458,723.41/7,602.13
  6. Step 6: Final answer
    x = 3,611.98

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Why These Related Problems?

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