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Finding the Fourth Proportional to 10,782.01, 16,173.02 and 6,403.15

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Solution

The fourth proportional to 10,782.01, 16,173.02 and 6,403.15 is: 9,604.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,782.01 : 16,173.02 = 6,403.15 : x
  2. Step 2: Convert to fraction form
    10,782.01/16,173.02 = 6,403.15/x
  3. Step 3: Cross multiply
    10,782.01x = 16,173.02 × 6,403.15
  4. Step 4: Simplify right side
    10,782.01x = 103,558,273.01
  5. Step 5: Solve for x
    x = 103,558,273.01/10,782.01
  6. Step 6: Final answer
    x = 9,604.73

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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.