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Finding the Fourth Proportional to 7,296.86, 10,946.37 and 2,679.50

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Solution

The fourth proportional to 7,296.86, 10,946.37 and 2,679.50 is: 4,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.86 : 10,946.37 = 2,679.50 : x
  2. Step 2: Convert to fraction form
    7,296.86/10,946.37 = 2,679.50/x
  3. Step 3: Cross multiply
    7,296.86x = 10,946.37 × 2,679.50
  4. Step 4: Simplify right side
    7,296.86x = 29,330,798.42
  5. Step 5: Solve for x
    x = 29,330,798.42/7,296.86
  6. Step 6: Final answer
    x = 4,019.65

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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.