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Finding the Fourth Proportional to 7,296.75, 10,946.88 and 2,102.58

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Solution

The fourth proportional to 7,296.75, 10,946.88 and 2,102.58 is: 3,154.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,296.75 : 10,946.88 = 2,102.58 : x
  2. Step 2: Convert to fraction form
    7,296.75/10,946.88 = 2,102.58/x
  3. Step 3: Cross multiply
    7,296.75x = 10,946.88 × 2,102.58
  4. Step 4: Simplify right side
    7,296.75x = 23,016,690.95
  5. Step 5: Solve for x
    x = 23,016,690.95/7,296.75
  6. Step 6: Final answer
    x = 3,154.38

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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.