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Finding the Fourth Proportional to 6,365.67, 8,783.01 and 4,095.96

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Solution

The fourth proportional to 6,365.67, 8,783.01 and 4,095.96 is: 5,651.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.67 : 8,783.01 = 4,095.96 : x
  2. Step 2: Convert to fraction form
    6,365.67/8,783.01 = 4,095.96/x
  3. Step 3: Cross multiply
    6,365.67x = 8,783.01 × 4,095.96
  4. Step 4: Simplify right side
    6,365.67x = 35,974,857.64
  5. Step 5: Solve for x
    x = 35,974,857.64/6,365.67
  6. Step 6: Final answer
    x = 5,651.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.