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Finding the Fourth Proportional to 6,681.36, 10,026 and 3,722.28

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Solution

The fourth proportional to 6,681.36, 10,026 and 3,722.28 is: 5,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,681.36 : 10,026 = 3,722.28 : x
  2. Step 2: Convert to fraction form
    6,681.36/10,026 = 3,722.28/x
  3. Step 3: Cross multiply
    6,681.36x = 10,026 × 3,722.28
  4. Step 4: Simplify right side
    6,681.36x = 37,319,579.28
  5. Step 5: Solve for x
    x = 37,319,579.28/6,681.36
  6. Step 6: Final answer
    x = 5,585.63

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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.