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Finding the Fourth Proportional to 11,846.18, 17,780.16 and 6,006.98

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Solution

The fourth proportional to 11,846.18, 17,780.16 and 6,006.98 is: 9,015.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,846.18 : 17,780.16 = 6,006.98 : x
  2. Step 2: Convert to fraction form
    11,846.18/17,780.16 = 6,006.98/x
  3. Step 3: Cross multiply
    11,846.18x = 17,780.16 × 6,006.98
  4. Step 4: Simplify right side
    11,846.18x = 106,805,065.52
  5. Step 5: Solve for x
    x = 106,805,065.52/11,846.18
  6. Step 6: Final answer
    x = 9,015.99

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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.