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Finding the Fourth Proportional to 11,326.32, 16,983.72 and 5,166

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Solution

The fourth proportional to 11,326.32, 16,983.72 and 5,166 is: 7,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,326.32 : 16,983.72 = 5,166 : x
  2. Step 2: Convert to fraction form
    11,326.32/16,983.72 = 5,166/x
  3. Step 3: Cross multiply
    11,326.32x = 16,983.72 × 5,166
  4. Step 4: Simplify right side
    11,326.32x = 87,737,897.52
  5. Step 5: Solve for x
    x = 87,737,897.52/11,326.32
  6. Step 6: Final answer
    x = 7,746.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.