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Finding the Fourth Proportional to 5,836,138.14, 8,052,808.84 and 4,099,115.01

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Solution

The fourth proportional to 5,836,138.14, 8,052,808.84 and 4,099,115.01 is: 5,656,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,138.14 : 8,052,808.84 = 4,099,115.01 : x
  2. Step 2: Convert to fraction form
    5,836,138.14/8,052,808.84 = 4,099,115.01/x
  3. Step 3: Cross multiply
    5,836,138.14x = 8,052,808.84 × 4,099,115.01
  4. Step 4: Simplify right side
    5,836,138.14x = 33,009,389,588,704.69
  5. Step 5: Solve for x
    x = 33,009,389,588,704.69/5,836,138.14
  6. Step 6: Final answer
    x = 5,656,032.94

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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.