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Finding the Fourth Proportional to 7,927.39, 10,942.05 and 4,783.78

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Solution

The fourth proportional to 7,927.39, 10,942.05 and 4,783.78 is: 6,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,927.39 : 10,942.05 = 4,783.78 : x
  2. Step 2: Convert to fraction form
    7,927.39/10,942.05 = 4,783.78/x
  3. Step 3: Cross multiply
    7,927.39x = 10,942.05 × 4,783.78
  4. Step 4: Simplify right side
    7,927.39x = 52,344,359.95
  5. Step 5: Solve for x
    x = 52,344,359.95/7,927.39
  6. Step 6: Final answer
    x = 6,602.98

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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.