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Finding the Fourth Proportional to 8,277.78, 11,423.34 and 4,741.05

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Solution

The fourth proportional to 8,277.78, 11,423.34 and 4,741.05 is: 6,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,277.78 : 11,423.34 = 4,741.05 : x
  2. Step 2: Convert to fraction form
    8,277.78/11,423.34 = 4,741.05/x
  3. Step 3: Cross multiply
    8,277.78x = 11,423.34 × 4,741.05
  4. Step 4: Simplify right side
    8,277.78x = 54,158,626.11
  5. Step 5: Solve for x
    x = 54,158,626.11/8,277.78
  6. Step 6: Final answer
    x = 6,542.65

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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.