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Finding the Fourth Proportional to 10,823.57, 16,243.86 and 5,558.37

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Solution

The fourth proportional to 10,823.57, 16,243.86 and 5,558.37 is: 8,341.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,823.57 : 16,243.86 = 5,558.37 : x
  2. Step 2: Convert to fraction form
    10,823.57/16,243.86 = 5,558.37/x
  3. Step 3: Cross multiply
    10,823.57x = 16,243.86 × 5,558.37
  4. Step 4: Simplify right side
    10,823.57x = 90,289,384.11
  5. Step 5: Solve for x
    x = 90,289,384.11/10,823.57
  6. Step 6: Final answer
    x = 8,341.93

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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.