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Finding the Fourth Proportional to 6,716.70, 10,075.25 and 3,207.08

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Solution

The fourth proportional to 6,716.70, 10,075.25 and 3,207.08 is: 4,810.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.70 : 10,075.25 = 3,207.08 : x
  2. Step 2: Convert to fraction form
    6,716.70/10,075.25 = 3,207.08/x
  3. Step 3: Cross multiply
    6,716.70x = 10,075.25 × 3,207.08
  4. Step 4: Simplify right side
    6,716.70x = 32,312,066.36
  5. Step 5: Solve for x
    x = 32,312,066.36/6,716.70
  6. Step 6: Final answer
    x = 4,810.71

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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.