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Finding the Fourth Proportional to 11,889.88, 16,406.36 and 6,853.70

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Solution

The fourth proportional to 11,889.88, 16,406.36 and 6,853.70 is: 9,457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,889.88 : 16,406.36 = 6,853.70 : x
  2. Step 2: Convert to fraction form
    11,889.88/16,406.36 = 6,853.70/x
  3. Step 3: Cross multiply
    11,889.88x = 16,406.36 × 6,853.70
  4. Step 4: Simplify right side
    11,889.88x = 112,444,269.53
  5. Step 5: Solve for x
    x = 112,444,269.53/11,889.88
  6. Step 6: Final answer
    x = 9,457.14

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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.