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Finding the Fourth Proportional to 11,181.64, 15,424.86 and 6,703.24

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Solution

The fourth proportional to 11,181.64, 15,424.86 and 6,703.24 is: 9,246.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,181.64 : 15,424.86 = 6,703.24 : x
  2. Step 2: Convert to fraction form
    11,181.64/15,424.86 = 6,703.24/x
  3. Step 3: Cross multiply
    11,181.64x = 15,424.86 × 6,703.24
  4. Step 4: Simplify right side
    11,181.64x = 103,396,538.55
  5. Step 5: Solve for x
    x = 103,396,538.55/11,181.64
  6. Step 6: Final answer
    x = 9,246.99

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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.