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Finding the Fourth Proportional to 11,583.70, 17,389.05 and 6,043.30

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Solution

The fourth proportional to 11,583.70, 17,389.05 and 6,043.30 is: 9,071.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,583.70 : 17,389.05 = 6,043.30 : x
  2. Step 2: Convert to fraction form
    11,583.70/17,389.05 = 6,043.30/x
  3. Step 3: Cross multiply
    11,583.70x = 17,389.05 × 6,043.30
  4. Step 4: Simplify right side
    11,583.70x = 105,087,245.87
  5. Step 5: Solve for x
    x = 105,087,245.87/11,583.70
  6. Step 6: Final answer
    x = 9,071.99

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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.