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Finding the Fourth Proportional to 7,923.82, 10,930.08 and 5,235.06

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Solution

The fourth proportional to 7,923.82, 10,930.08 and 5,235.06 is: 7,221.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,923.82 : 10,930.08 = 5,235.06 : x
  2. Step 2: Convert to fraction form
    7,923.82/10,930.08 = 5,235.06/x
  3. Step 3: Cross multiply
    7,923.82x = 10,930.08 × 5,235.06
  4. Step 4: Simplify right side
    7,923.82x = 57,219,624.60
  5. Step 5: Solve for x
    x = 57,219,624.60/7,923.82
  6. Step 6: Final answer
    x = 7,221.22

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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.