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Finding the Fourth Proportional to 6,684.93, 10,024.55 and 2,005.59

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Solution

The fourth proportional to 6,684.93, 10,024.55 and 2,005.59 is: 3,007.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.93 : 10,024.55 = 2,005.59 : x
  2. Step 2: Convert to fraction form
    6,684.93/10,024.55 = 2,005.59/x
  3. Step 3: Cross multiply
    6,684.93x = 10,024.55 × 2,005.59
  4. Step 4: Simplify right side
    6,684.93x = 20,105,127.21
  5. Step 5: Solve for x
    x = 20,105,127.21/6,684.93
  6. Step 6: Final answer
    x = 3,007.53

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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.