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Finding the Fourth Proportional to 11,655.36, 16,084.44 and 6,350.13

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Solution

The fourth proportional to 11,655.36, 16,084.44 and 6,350.13 is: 8,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.36 : 16,084.44 = 6,350.13 : x
  2. Step 2: Convert to fraction form
    11,655.36/16,084.44 = 6,350.13/x
  3. Step 3: Cross multiply
    11,655.36x = 16,084.44 × 6,350.13
  4. Step 4: Simplify right side
    11,655.36x = 102,138,284.98
  5. Step 5: Solve for x
    x = 102,138,284.98/11,655.36
  6. Step 6: Final answer
    x = 8,763.20

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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.