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Finding the Fourth Proportional to 8,325.24, 12,472.82 and 5,203.76

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Solution

The fourth proportional to 8,325.24, 12,472.82 and 5,203.76 is: 7,796.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,325.24 : 12,472.82 = 5,203.76 : x
  2. Step 2: Convert to fraction form
    8,325.24/12,472.82 = 5,203.76/x
  3. Step 3: Cross multiply
    8,325.24x = 12,472.82 × 5,203.76
  4. Step 4: Simplify right side
    8,325.24x = 64,905,561.80
  5. Step 5: Solve for x
    x = 64,905,561.80/8,325.24
  6. Step 6: Final answer
    x = 7,796.24

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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.