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Finding the Fourth Proportional to 10,047.68, 13,866.49 and 5,571.84

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Solution

The fourth proportional to 10,047.68, 13,866.49 and 5,571.84 is: 7,689.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.68 : 13,866.49 = 5,571.84 : x
  2. Step 2: Convert to fraction form
    10,047.68/13,866.49 = 5,571.84/x
  3. Step 3: Cross multiply
    10,047.68x = 13,866.49 × 5,571.84
  4. Step 4: Simplify right side
    10,047.68x = 77,261,863.64
  5. Step 5: Solve for x
    x = 77,261,863.64/10,047.68
  6. Step 6: Final answer
    x = 7,689.52

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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.