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Finding the Fourth Proportional to 7,277.96, 10,051.76 and 4,916

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Solution

The fourth proportional to 7,277.96, 10,051.76 and 4,916 is: 6,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,277.96 : 10,051.76 = 4,916 : x
  2. Step 2: Convert to fraction form
    7,277.96/10,051.76 = 4,916/x
  3. Step 3: Cross multiply
    7,277.96x = 10,051.76 × 4,916
  4. Step 4: Simplify right side
    7,277.96x = 49,414,452.16
  5. Step 5: Solve for x
    x = 49,414,452.16/7,277.96
  6. Step 6: Final answer
    x = 6,789.60

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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.