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Finding the Fourth Proportional to 11,571.93, 15,969.32 and 6,266.76

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Solution

The fourth proportional to 11,571.93, 15,969.32 and 6,266.76 is: 8,648.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571.93 : 15,969.32 = 6,266.76 : x
  2. Step 2: Convert to fraction form
    11,571.93/15,969.32 = 6,266.76/x
  3. Step 3: Cross multiply
    11,571.93x = 15,969.32 × 6,266.76
  4. Step 4: Simplify right side
    11,571.93x = 100,075,895.80
  5. Step 5: Solve for x
    x = 100,075,895.80/11,571.93
  6. Step 6: Final answer
    x = 8,648.16

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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.