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Finding the Fourth Proportional to 11,807.16, 17,699.22 and 5,655.48

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Solution

The fourth proportional to 11,807.16, 17,699.22 and 5,655.48 is: 8,477.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.16 : 17,699.22 = 5,655.48 : x
  2. Step 2: Convert to fraction form
    11,807.16/17,699.22 = 5,655.48/x
  3. Step 3: Cross multiply
    11,807.16x = 17,699.22 × 5,655.48
  4. Step 4: Simplify right side
    11,807.16x = 100,097,584.73
  5. Step 5: Solve for x
    x = 100,097,584.73/11,807.16
  6. Step 6: Final answer
    x = 8,477.70

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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.