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Finding the Fourth Proportional to 7,570.62, 11,357.10 and 2,376

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Solution

The fourth proportional to 7,570.62, 11,357.10 and 2,376 is: 3,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,570.62 : 11,357.10 = 2,376 : x
  2. Step 2: Convert to fraction form
    7,570.62/11,357.10 = 2,376/x
  3. Step 3: Cross multiply
    7,570.62x = 11,357.10 × 2,376
  4. Step 4: Simplify right side
    7,570.62x = 26,984,469.60
  5. Step 5: Solve for x
    x = 26,984,469.60/7,570.62
  6. Step 6: Final answer
    x = 3,564.37

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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.