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Finding the Fourth Proportional to 11,549.70, 17,328.84 and 6,006.90

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Solution

The fourth proportional to 11,549.70, 17,328.84 and 6,006.90 is: 9,012.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,549.70 : 17,328.84 = 6,006.90 : x
  2. Step 2: Convert to fraction form
    11,549.70/17,328.84 = 6,006.90/x
  3. Step 3: Cross multiply
    11,549.70x = 17,328.84 × 6,006.90
  4. Step 4: Simplify right side
    11,549.70x = 104,092,609.00
  5. Step 5: Solve for x
    x = 104,092,609.00/11,549.70
  6. Step 6: Final answer
    x = 9,012.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.