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Finding the Fourth Proportional to 6,703.02, 10,056.22 and 3,932

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Solution

The fourth proportional to 6,703.02, 10,056.22 and 3,932 is: 5,898.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.02 : 10,056.22 = 3,932 : x
  2. Step 2: Convert to fraction form
    6,703.02/10,056.22 = 3,932/x
  3. Step 3: Cross multiply
    6,703.02x = 10,056.22 × 3,932
  4. Step 4: Simplify right side
    6,703.02x = 39,541,057.04
  5. Step 5: Solve for x
    x = 39,541,057.04/6,703.02
  6. Step 6: Final answer
    x = 5,898.99

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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.