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Finding the Fourth Proportional to 6,898.25, 9,516.63 and 5,400.16

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Solution

The fourth proportional to 6,898.25, 9,516.63 and 5,400.16 is: 7,449.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.25 : 9,516.63 = 5,400.16 : x
  2. Step 2: Convert to fraction form
    6,898.25/9,516.63 = 5,400.16/x
  3. Step 3: Cross multiply
    6,898.25x = 9,516.63 × 5,400.16
  4. Step 4: Simplify right side
    6,898.25x = 51,391,324.66
  5. Step 5: Solve for x
    x = 51,391,324.66/6,898.25
  6. Step 6: Final answer
    x = 7,449.91

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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.