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Finding the Fourth Proportional to 8,462.94, 11,680.14 and 5,276.75

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Solution

The fourth proportional to 8,462.94, 11,680.14 and 5,276.75 is: 7,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,462.94 : 11,680.14 = 5,276.75 : x
  2. Step 2: Convert to fraction form
    8,462.94/11,680.14 = 5,276.75/x
  3. Step 3: Cross multiply
    8,462.94x = 11,680.14 × 5,276.75
  4. Step 4: Simplify right side
    8,462.94x = 61,633,178.75
  5. Step 5: Solve for x
    x = 61,633,178.75/8,462.94
  6. Step 6: Final answer
    x = 7,282.72

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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.