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Finding the Fourth Proportional to 7,296.61, 10,946.00 and 2,679.25

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Solution

The fourth proportional to 7,296.61, 10,946.00 and 2,679.25 is: 4,019.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.61 : 10,946.00 = 2,679.25 : x
  2. Step 2: Convert to fraction form
    7,296.61/10,946.00 = 2,679.25/x
  3. Step 3: Cross multiply
    7,296.61x = 10,946.00 × 2,679.25
  4. Step 4: Simplify right side
    7,296.61x = 29,327,057.10
  5. Step 5: Solve for x
    x = 29,327,057.10/7,296.61
  6. Step 6: Final answer
    x = 4,019.27

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Why These Related Problems?

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