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Finding the Fourth Proportional to 11,752.42, 16,218.03 and 6,716.32

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Solution

The fourth proportional to 11,752.42, 16,218.03 and 6,716.32 is: 9,268.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.42 : 16,218.03 = 6,716.32 : x
  2. Step 2: Convert to fraction form
    11,752.42/16,218.03 = 6,716.32/x
  3. Step 3: Cross multiply
    11,752.42x = 16,218.03 × 6,716.32
  4. Step 4: Simplify right side
    11,752.42x = 108,925,479.25
  5. Step 5: Solve for x
    x = 108,925,479.25/11,752.42
  6. Step 6: Final answer
    x = 9,268.34

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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.