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Finding the Fourth Proportional to 7,930.78, 10,944.34 and 4,746.42

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Solution

The fourth proportional to 7,930.78, 10,944.34 and 4,746.42 is: 6,549.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.78 : 10,944.34 = 4,746.42 : x
  2. Step 2: Convert to fraction form
    7,930.78/10,944.34 = 4,746.42/x
  3. Step 3: Cross multiply
    7,930.78x = 10,944.34 × 4,746.42
  4. Step 4: Simplify right side
    7,930.78x = 51,946,422.40
  5. Step 5: Solve for x
    x = 51,946,422.40/7,930.78
  6. Step 6: Final answer
    x = 6,549.98

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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.