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Finding the Fourth Proportional to 8,314.32, 11,473.83 and 4,956.57

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Solution

The fourth proportional to 8,314.32, 11,473.83 and 4,956.57 is: 6,840.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.32 : 11,473.83 = 4,956.57 : x
  2. Step 2: Convert to fraction form
    8,314.32/11,473.83 = 4,956.57/x
  3. Step 3: Cross multiply
    8,314.32x = 11,473.83 × 4,956.57
  4. Step 4: Simplify right side
    8,314.32x = 56,870,841.56
  5. Step 5: Solve for x
    x = 56,870,841.56/8,314.32
  6. Step 6: Final answer
    x = 6,840.11

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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.