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Finding the Fourth Proportional to 7,833, 11,750.76 and 2,902.38

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Solution

The fourth proportional to 7,833, 11,750.76 and 2,902.38 is: 4,354.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833 : 11,750.76 = 2,902.38 : x
  2. Step 2: Convert to fraction form
    7,833/11,750.76 = 2,902.38/x
  3. Step 3: Cross multiply
    7,833x = 11,750.76 × 2,902.38
  4. Step 4: Simplify right side
    7,833x = 34,105,170.81
  5. Step 5: Solve for x
    x = 34,105,170.81/7,833
  6. Step 6: Final answer
    x = 4,354.04

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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.