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Finding the Fourth Proportional to 4,713.83, 7,016.86 and 4,643.77

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Solution

The fourth proportional to 4,713.83, 7,016.86 and 4,643.77 is: 6,912.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,713.83 : 7,016.86 = 4,643.77 : x
  2. Step 2: Convert to fraction form
    4,713.83/7,016.86 = 4,643.77/x
  3. Step 3: Cross multiply
    4,713.83x = 7,016.86 × 4,643.77
  4. Step 4: Simplify right side
    4,713.83x = 32,584,672.22
  5. Step 5: Solve for x
    x = 32,584,672.22/4,713.83
  6. Step 6: Final answer
    x = 6,912.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.