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Finding the Fourth Proportional to 11,138.20, 16,702.07 and 6,459.54

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Solution

The fourth proportional to 11,138.20, 16,702.07 and 6,459.54 is: 9,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,138.20 : 16,702.07 = 6,459.54 : x
  2. Step 2: Convert to fraction form
    11,138.20/16,702.07 = 6,459.54/x
  3. Step 3: Cross multiply
    11,138.20x = 16,702.07 × 6,459.54
  4. Step 4: Simplify right side
    11,138.20x = 107,887,673.10
  5. Step 5: Solve for x
    x = 107,887,673.10/11,138.20
  6. Step 6: Final answer
    x = 9,686.28

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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.