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Finding the Fourth Proportional to 6,824.72, 10,237.04 and 5,897.46

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Solution

The fourth proportional to 6,824.72, 10,237.04 and 5,897.46 is: 8,846.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.72 : 10,237.04 = 5,897.46 : x
  2. Step 2: Convert to fraction form
    6,824.72/10,237.04 = 5,897.46/x
  3. Step 3: Cross multiply
    6,824.72x = 10,237.04 × 5,897.46
  4. Step 4: Simplify right side
    6,824.72x = 60,372,533.92
  5. Step 5: Solve for x
    x = 60,372,533.92/6,824.72
  6. Step 6: Final answer
    x = 8,846.16

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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.