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Finding the Fourth Proportional to 10,771.33, 14,865.77 and 6,055.61

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Solution

The fourth proportional to 10,771.33, 14,865.77 and 6,055.61 is: 8,357.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.33 : 14,865.77 = 6,055.61 : x
  2. Step 2: Convert to fraction form
    10,771.33/14,865.77 = 6,055.61/x
  3. Step 3: Cross multiply
    10,771.33x = 14,865.77 × 6,055.61
  4. Step 4: Simplify right side
    10,771.33x = 90,021,312.87
  5. Step 5: Solve for x
    x = 90,021,312.87/10,771.33
  6. Step 6: Final answer
    x = 8,357.49

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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.