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Finding the Fourth Proportional to 8,356.30, 12,554.06 and 7,883.46

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Solution

The fourth proportional to 8,356.30, 12,554.06 and 7,883.46 is: 11,843.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.30 : 12,554.06 = 7,883.46 : x
  2. Step 2: Convert to fraction form
    8,356.30/12,554.06 = 7,883.46/x
  3. Step 3: Cross multiply
    8,356.30x = 12,554.06 × 7,883.46
  4. Step 4: Simplify right side
    8,356.30x = 98,969,390.43
  5. Step 5: Solve for x
    x = 98,969,390.43/8,356.30
  6. Step 6: Final answer
    x = 11,843.69

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