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Finding the Fourth Proportional to 7,296.25, 10,946.21 and 2,102.13

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Solution

The fourth proportional to 7,296.25, 10,946.21 and 2,102.13 is: 3,153.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.25 : 10,946.21 = 2,102.13 : x
  2. Step 2: Convert to fraction form
    7,296.25/10,946.21 = 2,102.13/x
  3. Step 3: Cross multiply
    7,296.25x = 10,946.21 × 2,102.13
  4. Step 4: Simplify right side
    7,296.25x = 23,010,356.43
  5. Step 5: Solve for x
    x = 23,010,356.43/7,296.25
  6. Step 6: Final answer
    x = 3,153.72

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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.