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Finding the Fourth Proportional to 11,594.26, 16,002.09 and 6,878.84

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Solution

The fourth proportional to 11,594.26, 16,002.09 and 6,878.84 is: 9,493.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.26 : 16,002.09 = 6,878.84 : x
  2. Step 2: Convert to fraction form
    11,594.26/16,002.09 = 6,878.84/x
  3. Step 3: Cross multiply
    11,594.26x = 16,002.09 × 6,878.84
  4. Step 4: Simplify right side
    11,594.26x = 110,075,816.78
  5. Step 5: Solve for x
    x = 110,075,816.78/11,594.26
  6. Step 6: Final answer
    x = 9,493.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.