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Finding the Fourth Proportional to 11,002, 16,490.42 and 4,423.98

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Solution

The fourth proportional to 11,002, 16,490.42 and 4,423.98 is: 6,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,002 : 16,490.42 = 4,423.98 : x
  2. Step 2: Convert to fraction form
    11,002/16,490.42 = 4,423.98/x
  3. Step 3: Cross multiply
    11,002x = 16,490.42 × 4,423.98
  4. Step 4: Simplify right side
    11,002x = 72,953,288.27
  5. Step 5: Solve for x
    x = 72,953,288.27/11,002
  6. Step 6: Final answer
    x = 6,630.91

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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.