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Finding the Fourth Proportional to 6,466.38, 8,916.72 and 5,119.74

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Solution

The fourth proportional to 6,466.38, 8,916.72 and 5,119.74 is: 7,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.38 : 8,916.72 = 5,119.74 : x
  2. Step 2: Convert to fraction form
    6,466.38/8,916.72 = 5,119.74/x
  3. Step 3: Cross multiply
    6,466.38x = 8,916.72 × 5,119.74
  4. Step 4: Simplify right side
    6,466.38x = 45,651,288.05
  5. Step 5: Solve for x
    x = 45,651,288.05/6,466.38
  6. Step 6: Final answer
    x = 7,059.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.