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Finding the Fourth Proportional to 7,852, 11,747.76 and 7,795.84

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Solution

The fourth proportional to 7,852, 11,747.76 and 7,795.84 is: 11,663.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,852 : 11,747.76 = 7,795.84 : x
  2. Step 2: Convert to fraction form
    7,852/11,747.76 = 7,795.84/x
  3. Step 3: Cross multiply
    7,852x = 11,747.76 × 7,795.84
  4. Step 4: Simplify right side
    7,852x = 91,583,657.32
  5. Step 5: Solve for x
    x = 91,583,657.32/7,852
  6. Step 6: Final answer
    x = 11,663.74

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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.