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Finding the Fourth Proportional to 11,046.34, 16,567.02 and 3,148.70

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Solution

The fourth proportional to 11,046.34, 16,567.02 and 3,148.70 is: 4,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,046.34 : 16,567.02 = 3,148.70 : x
  2. Step 2: Convert to fraction form
    11,046.34/16,567.02 = 3,148.70/x
  3. Step 3: Cross multiply
    11,046.34x = 16,567.02 × 3,148.70
  4. Step 4: Simplify right side
    11,046.34x = 52,164,493.04
  5. Step 5: Solve for x
    x = 52,164,493.04/11,046.34
  6. Step 6: Final answer
    x = 4,722.33

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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.