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Finding the Fourth Proportional to 8,314.64, 11,473.75 and 4,729.12

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Solution

The fourth proportional to 8,314.64, 11,473.75 and 4,729.12 is: 6,525.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.64 : 11,473.75 = 4,729.12 : x
  2. Step 2: Convert to fraction form
    8,314.64/11,473.75 = 4,729.12/x
  3. Step 3: Cross multiply
    8,314.64x = 11,473.75 × 4,729.12
  4. Step 4: Simplify right side
    8,314.64x = 54,260,717.83
  5. Step 5: Solve for x
    x = 54,260,717.83/8,314.64
  6. Step 6: Final answer
    x = 6,525.93

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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.