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Finding the Fourth Proportional to 7,833, 11,749.50 and 2,361

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Solution

The fourth proportional to 7,833, 11,749.50 and 2,361 is: 3,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 11,749.50 = 2,361 : x
  2. Step 2: Convert to fraction form
    7,833/11,749.50 = 2,361/x
  3. Step 3: Cross multiply
    7,833x = 11,749.50 × 2,361
  4. Step 4: Simplify right side
    7,833x = 27,740,569.50
  5. Step 5: Solve for x
    x = 27,740,569.50/7,833
  6. Step 6: Final answer
    x = 3,541.50

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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.