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Finding the Fourth Proportional to 7,153.97, 10,733.50 and 3,204.92

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Solution

The fourth proportional to 7,153.97, 10,733.50 and 3,204.92 is: 4,808.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.97 : 10,733.50 = 3,204.92 : x
  2. Step 2: Convert to fraction form
    7,153.97/10,733.50 = 3,204.92/x
  3. Step 3: Cross multiply
    7,153.97x = 10,733.50 × 3,204.92
  4. Step 4: Simplify right side
    7,153.97x = 34,400,008.82
  5. Step 5: Solve for x
    x = 34,400,008.82/7,153.97
  6. Step 6: Final answer
    x = 4,808.52

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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.