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Finding the Fourth Proportional to 8,046.19, 11,106.75 and 7,205.41

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Solution

The fourth proportional to 8,046.19, 11,106.75 and 7,205.41 is: 9,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,046.19 : 11,106.75 = 7,205.41 : x
  2. Step 2: Convert to fraction form
    8,046.19/11,106.75 = 7,205.41/x
  3. Step 3: Cross multiply
    8,046.19x = 11,106.75 × 7,205.41
  4. Step 4: Simplify right side
    8,046.19x = 80,028,687.52
  5. Step 5: Solve for x
    x = 80,028,687.52/8,046.19
  6. Step 6: Final answer
    x = 9,946.16

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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.