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Finding the Fourth Proportional to 10,771.76, 14,863.82 and 6,055.94

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Solution

The fourth proportional to 10,771.76, 14,863.82 and 6,055.94 is: 8,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.76 : 14,863.82 = 6,055.94 : x
  2. Step 2: Convert to fraction form
    10,771.76/14,863.82 = 6,055.94/x
  3. Step 3: Cross multiply
    10,771.76x = 14,863.82 × 6,055.94
  4. Step 4: Simplify right side
    10,771.76x = 90,014,402.09
  5. Step 5: Solve for x
    x = 90,014,402.09/10,771.76
  6. Step 6: Final answer
    x = 8,356.52

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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.