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Finding the Fourth Proportional to 6,901.61, 10,353.62 and 3,208.01

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Solution

The fourth proportional to 6,901.61, 10,353.62 and 3,208.01 is: 4,812.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,901.61 : 10,353.62 = 3,208.01 : x
  2. Step 2: Convert to fraction form
    6,901.61/10,353.62 = 3,208.01/x
  3. Step 3: Cross multiply
    6,901.61x = 10,353.62 × 3,208.01
  4. Step 4: Simplify right side
    6,901.61x = 33,214,472.75
  5. Step 5: Solve for x
    x = 33,214,472.75/6,901.61
  6. Step 6: Final answer
    x = 4,812.57

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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.