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Finding the Fourth Proportional to 11,804.54, 17,700.84 and 5,232.74

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Solution

The fourth proportional to 11,804.54, 17,700.84 and 5,232.74 is: 7,846.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,804.54 : 17,700.84 = 5,232.74 : x
  2. Step 2: Convert to fraction form
    11,804.54/17,700.84 = 5,232.74/x
  3. Step 3: Cross multiply
    11,804.54x = 17,700.84 × 5,232.74
  4. Step 4: Simplify right side
    11,804.54x = 92,623,893.50
  5. Step 5: Solve for x
    x = 92,623,893.50/11,804.54
  6. Step 6: Final answer
    x = 7,846.46

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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.