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Finding the Fourth Proportional to 6,861.84, 10,283.54 and 5,004.27

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Solution

The fourth proportional to 6,861.84, 10,283.54 and 5,004.27 is: 7,499.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.84 : 10,283.54 = 5,004.27 : x
  2. Step 2: Convert to fraction form
    6,861.84/10,283.54 = 5,004.27/x
  3. Step 3: Cross multiply
    6,861.84x = 10,283.54 × 5,004.27
  4. Step 4: Simplify right side
    6,861.84x = 51,461,585.69
  5. Step 5: Solve for x
    x = 51,461,585.69/6,861.84
  6. Step 6: Final answer
    x = 7,499.68

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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.