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Finding the Fourth Proportional to 8,463.95, 11,682.57 and 4,927.83

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Solution

The fourth proportional to 8,463.95, 11,682.57 and 4,927.83 is: 6,801.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.95 : 11,682.57 = 4,927.83 : x
  2. Step 2: Convert to fraction form
    8,463.95/11,682.57 = 4,927.83/x
  3. Step 3: Cross multiply
    8,463.95x = 11,682.57 × 4,927.83
  4. Step 4: Simplify right side
    8,463.95x = 57,569,718.92
  5. Step 5: Solve for x
    x = 57,569,718.92/8,463.95
  6. Step 6: Final answer
    x = 6,801.76

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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.