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Finding the Fourth Proportional to 7,834, 11,751.48 and 2,362

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Solution

The fourth proportional to 7,834, 11,751.48 and 2,362 is: 3,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,834 : 11,751.48 = 2,362 : x
  2. Step 2: Convert to fraction form
    7,834/11,751.48 = 2,362/x
  3. Step 3: Cross multiply
    7,834x = 11,751.48 × 2,362
  4. Step 4: Simplify right side
    7,834x = 27,756,995.76
  5. Step 5: Solve for x
    x = 27,756,995.76/7,834
  6. Step 6: Final answer
    x = 3,543.14

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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.