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Finding the Fourth Proportional to 11,328.54, 16,989.57 and 5,778.42

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Solution

The fourth proportional to 11,328.54, 16,989.57 and 5,778.42 is: 8,665.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,328.54 : 16,989.57 = 5,778.42 : x
  2. Step 2: Convert to fraction form
    11,328.54/16,989.57 = 5,778.42/x
  3. Step 3: Cross multiply
    11,328.54x = 16,989.57 × 5,778.42
  4. Step 4: Simplify right side
    11,328.54x = 98,172,871.08
  5. Step 5: Solve for x
    x = 98,172,871.08/11,328.54
  6. Step 6: Final answer
    x = 8,665.98

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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.