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Finding the Fourth Proportional to 6,803.04, 10,208.34 and 3,683

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Solution

The fourth proportional to 6,803.04, 10,208.34 and 3,683 is: 5,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,803.04 : 10,208.34 = 3,683 : x
  2. Step 2: Convert to fraction form
    6,803.04/10,208.34 = 3,683/x
  3. Step 3: Cross multiply
    6,803.04x = 10,208.34 × 3,683
  4. Step 4: Simplify right side
    6,803.04x = 37,597,316.22
  5. Step 5: Solve for x
    x = 37,597,316.22/6,803.04
  6. Step 6: Final answer
    x = 5,526.55

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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.