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Finding the Fourth Proportional to 7,131.65, 10,701.32 and 3,382.56

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Solution

The fourth proportional to 7,131.65, 10,701.32 and 3,382.56 is: 5,075.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.65 : 10,701.32 = 3,382.56 : x
  2. Step 2: Convert to fraction form
    7,131.65/10,701.32 = 3,382.56/x
  3. Step 3: Cross multiply
    7,131.65x = 10,701.32 × 3,382.56
  4. Step 4: Simplify right side
    7,131.65x = 36,197,840.07
  5. Step 5: Solve for x
    x = 36,197,840.07/7,131.65
  6. Step 6: Final answer
    x = 5,075.66

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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.