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Finding the Fourth Proportional to 7,844.19, 11,770.32 and 5,213.50

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Solution

The fourth proportional to 7,844.19, 11,770.32 and 5,213.50 is: 7,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,844.19 : 11,770.32 = 5,213.50 : x
  2. Step 2: Convert to fraction form
    7,844.19/11,770.32 = 5,213.50/x
  3. Step 3: Cross multiply
    7,844.19x = 11,770.32 × 5,213.50
  4. Step 4: Simplify right side
    7,844.19x = 61,364,563.32
  5. Step 5: Solve for x
    x = 61,364,563.32/7,844.19
  6. Step 6: Final answer
    x = 7,822.93

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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.