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Finding the Fourth Proportional to 6,825.71, 10,238.53 and 5,898.45

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Solution

The fourth proportional to 6,825.71, 10,238.53 and 5,898.45 is: 8,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,825.71 : 10,238.53 = 5,898.45 : x
  2. Step 2: Convert to fraction form
    6,825.71/10,238.53 = 5,898.45/x
  3. Step 3: Cross multiply
    6,825.71x = 10,238.53 × 5,898.45
  4. Step 4: Simplify right side
    6,825.71x = 60,391,457.28
  5. Step 5: Solve for x
    x = 60,391,457.28/6,825.71
  6. Step 6: Final answer
    x = 8,847.64

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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.