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Finding the Fourth Proportional to 7,261.50, 10,023.94 and 4,906.83

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Solution

The fourth proportional to 7,261.50, 10,023.94 and 4,906.83 is: 6,773.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,261.50 : 10,023.94 = 4,906.83 : x
  2. Step 2: Convert to fraction form
    7,261.50/10,023.94 = 4,906.83/x
  3. Step 3: Cross multiply
    7,261.50x = 10,023.94 × 4,906.83
  4. Step 4: Simplify right side
    7,261.50x = 49,185,769.51
  5. Step 5: Solve for x
    x = 49,185,769.51/7,261.50
  6. Step 6: Final answer
    x = 6,773.50

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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.