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Finding the Fourth Proportional to 7,538.01, 11,307.38 and 2,857.65

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Solution

The fourth proportional to 7,538.01, 11,307.38 and 2,857.65 is: 4,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,538.01 : 11,307.38 = 2,857.65 : x
  2. Step 2: Convert to fraction form
    7,538.01/11,307.38 = 2,857.65/x
  3. Step 3: Cross multiply
    7,538.01x = 11,307.38 × 2,857.65
  4. Step 4: Simplify right side
    7,538.01x = 32,312,520.17
  5. Step 5: Solve for x
    x = 32,312,520.17/7,538.01
  6. Step 6: Final answer
    x = 4,286.61

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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.