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Finding the Fourth Proportional to 10,709.84, 16,075.13 and 5,167.08

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Solution

The fourth proportional to 10,709.84, 16,075.13 and 5,167.08 is: 7,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,709.84 : 16,075.13 = 5,167.08 : x
  2. Step 2: Convert to fraction form
    10,709.84/16,075.13 = 5,167.08/x
  3. Step 3: Cross multiply
    10,709.84x = 16,075.13 × 5,167.08
  4. Step 4: Simplify right side
    10,709.84x = 83,061,477.88
  5. Step 5: Solve for x
    x = 83,061,477.88/10,709.84
  6. Step 6: Final answer
    x = 7,755.62

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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.