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Finding the Fourth Proportional to 6,803.86, 10,206.17 and 2,124.52

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Solution

The fourth proportional to 6,803.86, 10,206.17 and 2,124.52 is: 3,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.86 : 10,206.17 = 2,124.52 : x
  2. Step 2: Convert to fraction form
    6,803.86/10,206.17 = 2,124.52/x
  3. Step 3: Cross multiply
    6,803.86x = 10,206.17 × 2,124.52
  4. Step 4: Simplify right side
    6,803.86x = 21,683,192.08
  5. Step 5: Solve for x
    x = 21,683,192.08/6,803.86
  6. Step 6: Final answer
    x = 3,186.90

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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.