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Finding the Fourth Proportional to 7,175.08, 10,763.70 and 2,557

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Solution

The fourth proportional to 7,175.08, 10,763.70 and 2,557 is: 3,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.08 : 10,763.70 = 2,557 : x
  2. Step 2: Convert to fraction form
    7,175.08/10,763.70 = 2,557/x
  3. Step 3: Cross multiply
    7,175.08x = 10,763.70 × 2,557
  4. Step 4: Simplify right side
    7,175.08x = 27,522,780.90
  5. Step 5: Solve for x
    x = 27,522,780.90/7,175.08
  6. Step 6: Final answer
    x = 3,835.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.