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Finding the Fourth Proportional to 11,588.70, 17,396.55 and 6,048.30

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Solution

The fourth proportional to 11,588.70, 17,396.55 and 6,048.30 is: 9,079.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.70 : 17,396.55 = 6,048.30 : x
  2. Step 2: Convert to fraction form
    11,588.70/17,396.55 = 6,048.30/x
  3. Step 3: Cross multiply
    11,588.70x = 17,396.55 × 6,048.30
  4. Step 4: Simplify right side
    11,588.70x = 105,219,553.37
  5. Step 5: Solve for x
    x = 105,219,553.37/11,588.70
  6. Step 6: Final answer
    x = 9,079.50

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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.