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Finding the Fourth Proportional to 7,852.22, 11,784.47 and 3,472.74

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Solution

The fourth proportional to 7,852.22, 11,784.47 and 3,472.74 is: 5,211.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852.22 : 11,784.47 = 3,472.74 : x
  2. Step 2: Convert to fraction form
    7,852.22/11,784.47 = 3,472.74/x
  3. Step 3: Cross multiply
    7,852.22x = 11,784.47 × 3,472.74
  4. Step 4: Simplify right side
    7,852.22x = 40,924,382.98
  5. Step 5: Solve for x
    x = 40,924,382.98/7,852.22
  6. Step 6: Final answer
    x = 5,211.83

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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.