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Finding the Fourth Proportional to 10,798.35, 16,202.00 and 5,173.17

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Solution

The fourth proportional to 10,798.35, 16,202.00 and 5,173.17 is: 7,761.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,798.35 : 16,202.00 = 5,173.17 : x
  2. Step 2: Convert to fraction form
    10,798.35/16,202.00 = 5,173.17/x
  3. Step 3: Cross multiply
    10,798.35x = 16,202.00 × 5,173.17
  4. Step 4: Simplify right side
    10,798.35x = 83,815,674.47
  5. Step 5: Solve for x
    x = 83,815,674.47/10,798.35
  6. Step 6: Final answer
    x = 7,761.90

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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.