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Finding the Fourth Proportional to 7,848, 11,772.24 and 2,376

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Solution

The fourth proportional to 7,848, 11,772.24 and 2,376 is: 3,564.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,848 : 11,772.24 = 2,376 : x
  2. Step 2: Convert to fraction form
    7,848/11,772.24 = 2,376/x
  3. Step 3: Cross multiply
    7,848x = 11,772.24 × 2,376
  4. Step 4: Simplify right side
    7,848x = 27,970,842.24
  5. Step 5: Solve for x
    x = 27,970,842.24/7,848
  6. Step 6: Final answer
    x = 3,564.07

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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.