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Finding the Fourth Proportional to 11,220, 16,826.64 and 5,296.48

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Solution

The fourth proportional to 11,220, 16,826.64 and 5,296.48 is: 7,943.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,220 : 16,826.64 = 5,296.48 : x
  2. Step 2: Convert to fraction form
    11,220/16,826.64 = 5,296.48/x
  3. Step 3: Cross multiply
    11,220x = 16,826.64 × 5,296.48
  4. Step 4: Simplify right side
    11,220x = 89,121,962.23
  5. Step 5: Solve for x
    x = 89,121,962.23/11,220
  6. Step 6: Final answer
    x = 7,943.13

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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.