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Finding the Fourth Proportional to 7,153.38, 10,639.35 and 7,075.62

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Solution

The fourth proportional to 7,153.38, 10,639.35 and 7,075.62 is: 10,523.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,153.38 : 10,639.35 = 7,075.62 : x
  2. Step 2: Convert to fraction form
    7,153.38/10,639.35 = 7,075.62/x
  3. Step 3: Cross multiply
    7,153.38x = 10,639.35 × 7,075.62
  4. Step 4: Simplify right side
    7,153.38x = 75,279,997.65
  5. Step 5: Solve for x
    x = 75,279,997.65/7,153.38
  6. Step 6: Final answer
    x = 10,523.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.