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Finding the Fourth Proportional to 12,311, 16,989.54 and 6,722.36

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Solution

The fourth proportional to 12,311, 16,989.54 and 6,722.36 is: 9,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311 : 16,989.54 = 6,722.36 : x
  2. Step 2: Convert to fraction form
    12,311/16,989.54 = 6,722.36/x
  3. Step 3: Cross multiply
    12,311x = 16,989.54 × 6,722.36
  4. Step 4: Simplify right side
    12,311x = 114,209,804.11
  5. Step 5: Solve for x
    x = 114,209,804.11/12,311
  6. Step 6: Final answer
    x = 9,277.05

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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.