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Finding the Fourth Proportional to 7,165.99, 10,737.10 and 5,075.65

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Solution

The fourth proportional to 7,165.99, 10,737.10 and 5,075.65 is: 7,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,165.99 : 10,737.10 = 5,075.65 : x
  2. Step 2: Convert to fraction form
    7,165.99/10,737.10 = 5,075.65/x
  3. Step 3: Cross multiply
    7,165.99x = 10,737.10 × 5,075.65
  4. Step 4: Simplify right side
    7,165.99x = 54,497,761.62
  5. Step 5: Solve for x
    x = 54,497,761.62/7,165.99
  6. Step 6: Final answer
    x = 7,605.06

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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.