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Finding the Fourth Proportional to 7,944.81, 10,964.31 and 4,542.89

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Solution

The fourth proportional to 7,944.81, 10,964.31 and 4,542.89 is: 6,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.81 : 10,964.31 = 4,542.89 : x
  2. Step 2: Convert to fraction form
    7,944.81/10,964.31 = 4,542.89/x
  3. Step 3: Cross multiply
    7,944.81x = 10,964.31 × 4,542.89
  4. Step 4: Simplify right side
    7,944.81x = 49,809,607.95
  5. Step 5: Solve for x
    x = 49,809,607.95/7,944.81
  6. Step 6: Final answer
    x = 6,269.45

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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.