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Finding the Fourth Proportional to 11,000.46, 15,181.43 and 6,284.64

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Solution

The fourth proportional to 11,000.46, 15,181.43 and 6,284.64 is: 8,673.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,000.46 : 15,181.43 = 6,284.64 : x
  2. Step 2: Convert to fraction form
    11,000.46/15,181.43 = 6,284.64/x
  3. Step 3: Cross multiply
    11,000.46x = 15,181.43 × 6,284.64
  4. Step 4: Simplify right side
    11,000.46x = 95,409,822.24
  5. Step 5: Solve for x
    x = 95,409,822.24/11,000.46
  6. Step 6: Final answer
    x = 8,673.26

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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.