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Finding the Fourth Proportional to 11,134.84, 16,702.52 and 3,739.54

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Solution

The fourth proportional to 11,134.84, 16,702.52 and 3,739.54 is: 5,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.84 : 16,702.52 = 3,739.54 : x
  2. Step 2: Convert to fraction form
    11,134.84/16,702.52 = 3,739.54/x
  3. Step 3: Cross multiply
    11,134.84x = 16,702.52 × 3,739.54
  4. Step 4: Simplify right side
    11,134.84x = 62,459,741.64
  5. Step 5: Solve for x
    x = 62,459,741.64/11,134.84
  6. Step 6: Final answer
    x = 5,609.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.