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Finding the Fourth Proportional to 7,930.40, 10,940.52 and 4,784.78

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Solution

The fourth proportional to 7,930.40, 10,940.52 and 4,784.78 is: 6,600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,930.40 : 10,940.52 = 4,784.78 : x
  2. Step 2: Convert to fraction form
    7,930.40/10,940.52 = 4,784.78/x
  3. Step 3: Cross multiply
    7,930.40x = 10,940.52 × 4,784.78
  4. Step 4: Simplify right side
    7,930.40x = 52,347,981.29
  5. Step 5: Solve for x
    x = 52,347,981.29/7,930.40
  6. Step 6: Final answer
    x = 6,600.93

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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.