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Finding the Fourth Proportional to 11,807.70, 17,696.04 and 5,559.24

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Solution

The fourth proportional to 11,807.70, 17,696.04 and 5,559.24 is: 8,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.70 : 17,696.04 = 5,559.24 : x
  2. Step 2: Convert to fraction form
    11,807.70/17,696.04 = 5,559.24/x
  3. Step 3: Cross multiply
    11,807.70x = 17,696.04 × 5,559.24
  4. Step 4: Simplify right side
    11,807.70x = 98,376,533.41
  5. Step 5: Solve for x
    x = 98,376,533.41/11,807.70
  6. Step 6: Final answer
    x = 8,331.56

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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.