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Finding the Fourth Proportional to 11,028.40, 16,543.68 and 4,009

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Solution

The fourth proportional to 11,028.40, 16,543.68 and 4,009 is: 6,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,028.40 : 16,543.68 = 4,009 : x
  2. Step 2: Convert to fraction form
    11,028.40/16,543.68 = 4,009/x
  3. Step 3: Cross multiply
    11,028.40x = 16,543.68 × 4,009
  4. Step 4: Simplify right side
    11,028.40x = 66,323,613.12
  5. Step 5: Solve for x
    x = 66,323,613.12/11,028.40
  6. Step 6: Final answer
    x = 6,013.89

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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.