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Finding the Fourth Proportional to 10,715.69, 16,075.67 and 3,322.42

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Solution

The fourth proportional to 10,715.69, 16,075.67 and 3,322.42 is: 4,984.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,715.69 : 16,075.67 = 3,322.42 : x
  2. Step 2: Convert to fraction form
    10,715.69/16,075.67 = 3,322.42/x
  3. Step 3: Cross multiply
    10,715.69x = 16,075.67 × 3,322.42
  4. Step 4: Simplify right side
    10,715.69x = 53,410,070.72
  5. Step 5: Solve for x
    x = 53,410,070.72/10,715.69
  6. Step 6: Final answer
    x = 4,984.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.