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Finding the Fourth Proportional to 11,223.98, 16,840.30 and 4,296.86

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Solution

The fourth proportional to 11,223.98, 16,840.30 and 4,296.86 is: 6,446.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,223.98 : 16,840.30 = 4,296.86 : x
  2. Step 2: Convert to fraction form
    11,223.98/16,840.30 = 4,296.86/x
  3. Step 3: Cross multiply
    11,223.98x = 16,840.30 × 4,296.86
  4. Step 4: Simplify right side
    11,223.98x = 72,360,411.46
  5. Step 5: Solve for x
    x = 72,360,411.46/11,223.98
  6. Step 6: Final answer
    x = 6,446.95

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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.