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Finding the Fourth Proportional to 7,832, 11,748 and 2,360

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Solution

The fourth proportional to 7,832, 11,748 and 2,360 is: 3,540

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832 : 11,748 = 2,360 : x
  2. Step 2: Convert to fraction form
    7,832/11,748 = 2,360/x
  3. Step 3: Cross multiply
    7,832x = 11,748 × 2,360
  4. Step 4: Simplify right side
    7,832x = 27,725,280
  5. Step 5: Solve for x
    x = 27,725,280/7,832
  6. Step 6: Final answer
    x = 3,540

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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.