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Finding the Fourth Proportional to 8,384.52, 11,571.75 and 5,409.01

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Solution

The fourth proportional to 8,384.52, 11,571.75 and 5,409.01 is: 7,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.52 : 11,571.75 = 5,409.01 : x
  2. Step 2: Convert to fraction form
    8,384.52/11,571.75 = 5,409.01/x
  3. Step 3: Cross multiply
    8,384.52x = 11,571.75 × 5,409.01
  4. Step 4: Simplify right side
    8,384.52x = 62,591,711.47
  5. Step 5: Solve for x
    x = 62,591,711.47/8,384.52
  6. Step 6: Final answer
    x = 7,465.15

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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.