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Finding the Fourth Proportional to 11,859.34, 16,365.81 and 6,554.16

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Solution

The fourth proportional to 11,859.34, 16,365.81 and 6,554.16 is: 9,044.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.34 : 16,365.81 = 6,554.16 : x
  2. Step 2: Convert to fraction form
    11,859.34/16,365.81 = 6,554.16/x
  3. Step 3: Cross multiply
    11,859.34x = 16,365.81 × 6,554.16
  4. Step 4: Simplify right side
    11,859.34x = 107,264,137.27
  5. Step 5: Solve for x
    x = 107,264,137.27/11,859.34
  6. Step 6: Final answer
    x = 9,044.70

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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.