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Finding the Fourth Proportional to 11,486.68, 17,236.74 and 6,563.32

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Solution

The fourth proportional to 11,486.68, 17,236.74 and 6,563.32 is: 9,848.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,486.68 : 17,236.74 = 6,563.32 : x
  2. Step 2: Convert to fraction form
    11,486.68/17,236.74 = 6,563.32/x
  3. Step 3: Cross multiply
    11,486.68x = 17,236.74 × 6,563.32
  4. Step 4: Simplify right side
    11,486.68x = 113,130,240.38
  5. Step 5: Solve for x
    x = 113,130,240.38/11,486.68
  6. Step 6: Final answer
    x = 9,848.82

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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.