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Finding the Fourth Proportional to 8,384.69, 11,571.56 and 5,406.72

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Solution

The fourth proportional to 8,384.69, 11,571.56 and 5,406.72 is: 7,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.69 : 11,571.56 = 5,406.72 : x
  2. Step 2: Convert to fraction form
    8,384.69/11,571.56 = 5,406.72/x
  3. Step 3: Cross multiply
    8,384.69x = 11,571.56 × 5,406.72
  4. Step 4: Simplify right side
    8,384.69x = 62,564,157.85
  5. Step 5: Solve for x
    x = 62,564,157.85/8,384.69
  6. Step 6: Final answer
    x = 7,461.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.