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Finding the Fourth Proportional to 11,617.49, 16,032.45 and 6,837.77

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Solution

The fourth proportional to 11,617.49, 16,032.45 and 6,837.77 is: 9,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.49 : 16,032.45 = 6,837.77 : x
  2. Step 2: Convert to fraction form
    11,617.49/16,032.45 = 6,837.77/x
  3. Step 3: Cross multiply
    11,617.49x = 16,032.45 × 6,837.77
  4. Step 4: Simplify right side
    11,617.49x = 109,626,205.64
  5. Step 5: Solve for x
    x = 109,626,205.64/11,617.49
  6. Step 6: Final answer
    x = 9,436.31

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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.