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Finding the Fourth Proportional to 7,930.78, 10,944.72 and 4,394.32

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Solution

The fourth proportional to 7,930.78, 10,944.72 and 4,394.32 is: 6,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.78 : 10,944.72 = 4,394.32 : x
  2. Step 2: Convert to fraction form
    7,930.78/10,944.72 = 4,394.32/x
  3. Step 3: Cross multiply
    7,930.78x = 10,944.72 × 4,394.32
  4. Step 4: Simplify right side
    7,930.78x = 48,094,574.63
  5. Step 5: Solve for x
    x = 48,094,574.63/7,930.78
  6. Step 6: Final answer
    x = 6,064.30

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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.