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Finding the Fourth Proportional to 6,703.69, 10,056.96 and 2,024.05

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Solution

The fourth proportional to 6,703.69, 10,056.96 and 2,024.05 is: 3,036.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.69 : 10,056.96 = 2,024.05 : x
  2. Step 2: Convert to fraction form
    6,703.69/10,056.96 = 2,024.05/x
  3. Step 3: Cross multiply
    6,703.69x = 10,056.96 × 2,024.05
  4. Step 4: Simplify right side
    6,703.69x = 20,355,789.89
  5. Step 5: Solve for x
    x = 20,355,789.89/6,703.69
  6. Step 6: Final answer
    x = 3,036.51

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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.