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Finding the Fourth Proportional to 6,710.34, 9,260.24 and 3,726.16

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Solution

The fourth proportional to 6,710.34, 9,260.24 and 3,726.16 is: 5,142.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,710.34 : 9,260.24 = 3,726.16 : x
  2. Step 2: Convert to fraction form
    6,710.34/9,260.24 = 3,726.16/x
  3. Step 3: Cross multiply
    6,710.34x = 9,260.24 × 3,726.16
  4. Step 4: Simplify right side
    6,710.34x = 34,505,135.88
  5. Step 5: Solve for x
    x = 34,505,135.88/6,710.34
  6. Step 6: Final answer
    x = 5,142.08

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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.