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Finding the Fourth Proportional to 7,571.34, 11,358.43 and 2,376

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Solution

The fourth proportional to 7,571.34, 11,358.43 and 2,376 is: 3,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,571.34 : 11,358.43 = 2,376 : x
  2. Step 2: Convert to fraction form
    7,571.34/11,358.43 = 2,376/x
  3. Step 3: Cross multiply
    7,571.34x = 11,358.43 × 2,376
  4. Step 4: Simplify right side
    7,571.34x = 26,987,623.74
  5. Step 5: Solve for x
    x = 26,987,623.74/7,571.34
  6. Step 6: Final answer
    x = 3,564.44

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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.