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Finding the Fourth Proportional to 6,906.16, 10,359.25 and 5,271.99

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Solution

The fourth proportional to 6,906.16, 10,359.25 and 5,271.99 is: 7,907.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.16 : 10,359.25 = 5,271.99 : x
  2. Step 2: Convert to fraction form
    6,906.16/10,359.25 = 5,271.99/x
  3. Step 3: Cross multiply
    6,906.16x = 10,359.25 × 5,271.99
  4. Step 4: Simplify right side
    6,906.16x = 54,613,810.38
  5. Step 5: Solve for x
    x = 54,613,810.38/6,906.16
  6. Step 6: Final answer
    x = 7,907.98

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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.