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Finding the Fourth Proportional to 7,196.75, 10,790.52 and 3,035.63

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Solution

The fourth proportional to 7,196.75, 10,790.52 and 3,035.63 is: 4,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.75 : 10,790.52 = 3,035.63 : x
  2. Step 2: Convert to fraction form
    7,196.75/10,790.52 = 3,035.63/x
  3. Step 3: Cross multiply
    7,196.75x = 10,790.52 × 3,035.63
  4. Step 4: Simplify right side
    7,196.75x = 32,755,981.12
  5. Step 5: Solve for x
    x = 32,755,981.12/7,196.75
  6. Step 6: Final answer
    x = 4,551.50

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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.