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Finding the Fourth Proportional to 8,571.84, 11,828.07 and 5,034.98

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Solution

The fourth proportional to 8,571.84, 11,828.07 and 5,034.98 is: 6,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,571.84 : 11,828.07 = 5,034.98 : x
  2. Step 2: Convert to fraction form
    8,571.84/11,828.07 = 5,034.98/x
  3. Step 3: Cross multiply
    8,571.84x = 11,828.07 × 5,034.98
  4. Step 4: Simplify right side
    8,571.84x = 59,554,036.75
  5. Step 5: Solve for x
    x = 59,554,036.75/8,571.84
  6. Step 6: Final answer
    x = 6,947.64

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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.