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Finding the Fourth Proportional to 8,314.43, 11,473.16 and 4,776.95

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Solution

The fourth proportional to 8,314.43, 11,473.16 and 4,776.95 is: 6,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.43 : 11,473.16 = 4,776.95 : x
  2. Step 2: Convert to fraction form
    8,314.43/11,473.16 = 4,776.95/x
  3. Step 3: Cross multiply
    8,314.43x = 11,473.16 × 4,776.95
  4. Step 4: Simplify right side
    8,314.43x = 54,806,630.41
  5. Step 5: Solve for x
    x = 54,806,630.41/8,314.43
  6. Step 6: Final answer
    x = 6,591.75

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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.