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Finding the Fourth Proportional to 7,292.98, 10,930.23 and 4,659.47

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Solution

The fourth proportional to 7,292.98, 10,930.23 and 4,659.47 is: 6,983.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,292.98 : 10,930.23 = 4,659.47 : x
  2. Step 2: Convert to fraction form
    7,292.98/10,930.23 = 4,659.47/x
  3. Step 3: Cross multiply
    7,292.98x = 10,930.23 × 4,659.47
  4. Step 4: Simplify right side
    7,292.98x = 50,929,078.78
  5. Step 5: Solve for x
    x = 50,929,078.78/7,292.98
  6. Step 6: Final answer
    x = 6,983.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.