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Finding the Fourth Proportional to 10,652.36, 15,964.64 and 5,716.22

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Solution

The fourth proportional to 10,652.36, 15,964.64 and 5,716.22 is: 8,566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.36 : 15,964.64 = 5,716.22 : x
  2. Step 2: Convert to fraction form
    10,652.36/15,964.64 = 5,716.22/x
  3. Step 3: Cross multiply
    10,652.36x = 15,964.64 × 5,716.22
  4. Step 4: Simplify right side
    10,652.36x = 91,257,429.45
  5. Step 5: Solve for x
    x = 91,257,429.45/10,652.36
  6. Step 6: Final answer
    x = 8,566.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.