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Finding the Fourth Proportional to 11,328.36, 16,986 and 4,394.76

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Solution

The fourth proportional to 11,328.36, 16,986 and 4,394.76 is: 6,589.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.36 : 16,986 = 4,394.76 : x
  2. Step 2: Convert to fraction form
    11,328.36/16,986 = 4,394.76/x
  3. Step 3: Cross multiply
    11,328.36x = 16,986 × 4,394.76
  4. Step 4: Simplify right side
    11,328.36x = 74,649,393.36
  5. Step 5: Solve for x
    x = 74,649,393.36/11,328.36
  6. Step 6: Final answer
    x = 6,589.60

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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.