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Finding the Fourth Proportional to 11,451.94, 15,809.18 and 7,205.06

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Solution

The fourth proportional to 11,451.94, 15,809.18 and 7,205.06 is: 9,946.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,451.94 : 15,809.18 = 7,205.06 : x
  2. Step 2: Convert to fraction form
    11,451.94/15,809.18 = 7,205.06/x
  3. Step 3: Cross multiply
    11,451.94x = 15,809.18 × 7,205.06
  4. Step 4: Simplify right side
    11,451.94x = 113,906,090.45
  5. Step 5: Solve for x
    x = 113,906,090.45/11,451.94
  6. Step 6: Final answer
    x = 9,946.44

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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.