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Finding the Fourth Proportional to 8,322.23, 11,486.13 and 4,965.26

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Solution

The fourth proportional to 8,322.23, 11,486.13 and 4,965.26 is: 6,852.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,322.23 : 11,486.13 = 4,965.26 : x
  2. Step 2: Convert to fraction form
    8,322.23/11,486.13 = 4,965.26/x
  3. Step 3: Cross multiply
    8,322.23x = 11,486.13 × 4,965.26
  4. Step 4: Simplify right side
    8,322.23x = 57,031,621.84
  5. Step 5: Solve for x
    x = 57,031,621.84/8,322.23
  6. Step 6: Final answer
    x = 6,852.93

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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.