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Finding the Fourth Proportional to 11,445, 15,796.16 and 8,310.32

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Solution

The fourth proportional to 11,445, 15,796.16 and 8,310.32 is: 11,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,445 : 15,796.16 = 8,310.32 : x
  2. Step 2: Convert to fraction form
    11,445/15,796.16 = 8,310.32/x
  3. Step 3: Cross multiply
    11,445x = 15,796.16 × 8,310.32
  4. Step 4: Simplify right side
    11,445x = 131,271,144.37
  5. Step 5: Solve for x
    x = 131,271,144.37/11,445
  6. Step 6: Final answer
    x = 11,469.74

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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.