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Finding the Fourth Proportional to 8,184.64, 11,297.64 and 5,041.12

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Solution

The fourth proportional to 8,184.64, 11,297.64 and 5,041.12 is: 6,958.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,184.64 : 11,297.64 = 5,041.12 : x
  2. Step 2: Convert to fraction form
    8,184.64/11,297.64 = 5,041.12/x
  3. Step 3: Cross multiply
    8,184.64x = 11,297.64 × 5,041.12
  4. Step 4: Simplify right side
    8,184.64x = 56,952,758.96
  5. Step 5: Solve for x
    x = 56,952,758.96/8,184.64
  6. Step 6: Final answer
    x = 6,958.49

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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.