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Finding the Fourth Proportional to 11,164.94, 16,747.40 and 4,586.50

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Solution

The fourth proportional to 11,164.94, 16,747.40 and 4,586.50 is: 6,879.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.94 : 16,747.40 = 4,586.50 : x
  2. Step 2: Convert to fraction form
    11,164.94/16,747.40 = 4,586.50/x
  3. Step 3: Cross multiply
    11,164.94x = 16,747.40 × 4,586.50
  4. Step 4: Simplify right side
    11,164.94x = 76,811,950.10
  5. Step 5: Solve for x
    x = 76,811,950.10/11,164.94
  6. Step 6: Final answer
    x = 6,879.75

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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.