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Finding the Fourth Proportional to 11,858.34, 16,364.43 and 6,553.16

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Solution

The fourth proportional to 11,858.34, 16,364.43 and 6,553.16 is: 9,043.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,858.34 : 16,364.43 = 6,553.16 : x
  2. Step 2: Convert to fraction form
    11,858.34/16,364.43 = 6,553.16/x
  3. Step 3: Cross multiply
    11,858.34x = 16,364.43 × 6,553.16
  4. Step 4: Simplify right side
    11,858.34x = 107,238,646.28
  5. Step 5: Solve for x
    x = 107,238,646.28/11,858.34
  6. Step 6: Final answer
    x = 9,043.31

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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.