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Finding the Fourth Proportional to 6,874.69, 10,313.31 and 3,126.74

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Solution

The fourth proportional to 6,874.69, 10,313.31 and 3,126.74 is: 4,690.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874.69 : 10,313.31 = 3,126.74 : x
  2. Step 2: Convert to fraction form
    6,874.69/10,313.31 = 3,126.74/x
  3. Step 3: Cross multiply
    6,874.69x = 10,313.31 × 3,126.74
  4. Step 4: Simplify right side
    6,874.69x = 32,247,038.91
  5. Step 5: Solve for x
    x = 32,247,038.91/6,874.69
  6. Step 6: Final answer
    x = 4,690.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.