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Finding the Fourth Proportional to 11,226.64, 15,494.16 and 6,448.08

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Solution

The fourth proportional to 11,226.64, 15,494.16 and 6,448.08 is: 8,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,226.64 : 15,494.16 = 6,448.08 : x
  2. Step 2: Convert to fraction form
    11,226.64/15,494.16 = 6,448.08/x
  3. Step 3: Cross multiply
    11,226.64x = 15,494.16 × 6,448.08
  4. Step 4: Simplify right side
    11,226.64x = 99,907,583.21
  5. Step 5: Solve for x
    x = 99,907,583.21/11,226.64
  6. Step 6: Final answer
    x = 8,899.15

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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.