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Finding the Fourth Proportional to 11,349.11, 15,661.77 and 6,381.11

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Solution

The fourth proportional to 11,349.11, 15,661.77 and 6,381.11 is: 8,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349.11 : 15,661.77 = 6,381.11 : x
  2. Step 2: Convert to fraction form
    11,349.11/15,661.77 = 6,381.11/x
  3. Step 3: Cross multiply
    11,349.11x = 15,661.77 × 6,381.11
  4. Step 4: Simplify right side
    11,349.11x = 99,939,477.16
  5. Step 5: Solve for x
    x = 99,939,477.16/11,349.11
  6. Step 6: Final answer
    x = 8,805.93

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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.