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Finding the Fourth Proportional to 7,468.27, 10,305.17 and 4,946.47

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Solution

The fourth proportional to 7,468.27, 10,305.17 and 4,946.47 is: 6,825.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,468.27 : 10,305.17 = 4,946.47 : x
  2. Step 2: Convert to fraction form
    7,468.27/10,305.17 = 4,946.47/x
  3. Step 3: Cross multiply
    7,468.27x = 10,305.17 × 4,946.47
  4. Step 4: Simplify right side
    7,468.27x = 50,974,189.52
  5. Step 5: Solve for x
    x = 50,974,189.52/7,468.27
  6. Step 6: Final answer
    x = 6,825.43

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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.