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Finding the Fourth Proportional to 7,864.63, 11,801.04 and 3,188.09

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Solution

The fourth proportional to 7,864.63, 11,801.04 and 3,188.09 is: 4,783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.63 : 11,801.04 = 3,188.09 : x
  2. Step 2: Convert to fraction form
    7,864.63/11,801.04 = 3,188.09/x
  3. Step 3: Cross multiply
    7,864.63x = 11,801.04 × 3,188.09
  4. Step 4: Simplify right side
    7,864.63x = 37,622,807.12
  5. Step 5: Solve for x
    x = 37,622,807.12/7,864.63
  6. Step 6: Final answer
    x = 4,783.80

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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.