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Finding the Fourth Proportional to 8,314.06, 11,473.11 and 4,728.70

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Solution

The fourth proportional to 8,314.06, 11,473.11 and 4,728.70 is: 6,525.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.06 : 11,473.11 = 4,728.70 : x
  2. Step 2: Convert to fraction form
    8,314.06/11,473.11 = 4,728.70/x
  3. Step 3: Cross multiply
    8,314.06x = 11,473.11 × 4,728.70
  4. Step 4: Simplify right side
    8,314.06x = 54,252,895.26
  5. Step 5: Solve for x
    x = 54,252,895.26/8,314.06
  6. Step 6: Final answer
    x = 6,525.44

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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.