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Finding the Fourth Proportional to 11,913.09, 16,439.94 and 6,607.77

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Solution

The fourth proportional to 11,913.09, 16,439.94 and 6,607.77 is: 9,118.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.09 : 16,439.94 = 6,607.77 : x
  2. Step 2: Convert to fraction form
    11,913.09/16,439.94 = 6,607.77/x
  3. Step 3: Cross multiply
    11,913.09x = 16,439.94 × 6,607.77
  4. Step 4: Simplify right side
    11,913.09x = 108,631,323.90
  5. Step 5: Solve for x
    x = 108,631,323.90/11,913.09
  6. Step 6: Final answer
    x = 9,118.65

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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.