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Finding the Fourth Proportional to 8,380.44, 11,564.94 and 4,603.66

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Solution

The fourth proportional to 8,380.44, 11,564.94 and 4,603.66 is: 6,353.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.44 : 11,564.94 = 4,603.66 : x
  2. Step 2: Convert to fraction form
    8,380.44/11,564.94 = 4,603.66/x
  3. Step 3: Cross multiply
    8,380.44x = 11,564.94 × 4,603.66
  4. Step 4: Simplify right side
    8,380.44x = 53,241,051.68
  5. Step 5: Solve for x
    x = 53,241,051.68/8,380.44
  6. Step 6: Final answer
    x = 6,353.01

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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.