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Finding the Fourth Proportional to 7,902.84, 11,856.25 and 3,741.73

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Solution

The fourth proportional to 7,902.84, 11,856.25 and 3,741.73 is: 5,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.84 : 11,856.25 = 3,741.73 : x
  2. Step 2: Convert to fraction form
    7,902.84/11,856.25 = 3,741.73/x
  3. Step 3: Cross multiply
    7,902.84x = 11,856.25 × 3,741.73
  4. Step 4: Simplify right side
    7,902.84x = 44,362,808.32
  5. Step 5: Solve for x
    x = 44,362,808.32/7,902.84
  6. Step 6: Final answer
    x = 5,613.53

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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.