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Finding the Fourth Proportional to 11,803.57, 16,288.71 and 6,425.82

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Solution

The fourth proportional to 11,803.57, 16,288.71 and 6,425.82 is: 8,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.57 : 16,288.71 = 6,425.82 : x
  2. Step 2: Convert to fraction form
    11,803.57/16,288.71 = 6,425.82/x
  3. Step 3: Cross multiply
    11,803.57x = 16,288.71 × 6,425.82
  4. Step 4: Simplify right side
    11,803.57x = 104,668,318.49
  5. Step 5: Solve for x
    x = 104,668,318.49/11,803.57
  6. Step 6: Final answer
    x = 8,867.51

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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.