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Finding the Fourth Proportional to 6,277.86, 8,665.26 and 5,027.64

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Solution

The fourth proportional to 6,277.86, 8,665.26 and 5,027.64 is: 6,939.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.86 : 8,665.26 = 5,027.64 : x
  2. Step 2: Convert to fraction form
    6,277.86/8,665.26 = 5,027.64/x
  3. Step 3: Cross multiply
    6,277.86x = 8,665.26 × 5,027.64
  4. Step 4: Simplify right side
    6,277.86x = 43,565,807.79
  5. Step 5: Solve for x
    x = 43,565,807.79/6,277.86
  6. Step 6: Final answer
    x = 6,939.60

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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.