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Finding the Fourth Proportional to 11,747.60, 16,211.20 and 7,029.12

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Solution

The fourth proportional to 11,747.60, 16,211.20 and 7,029.12 is: 9,699.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.60 : 16,211.20 = 7,029.12 : x
  2. Step 2: Convert to fraction form
    11,747.60/16,211.20 = 7,029.12/x
  3. Step 3: Cross multiply
    11,747.60x = 16,211.20 × 7,029.12
  4. Step 4: Simplify right side
    11,747.60x = 113,950,470.14
  5. Step 5: Solve for x
    x = 113,950,470.14/11,747.60
  6. Step 6: Final answer
    x = 9,699.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.