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Finding the Fourth Proportional to 11,973.60, 16,523.60 and 6,938.79

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Solution

The fourth proportional to 11,973.60, 16,523.60 and 6,938.79 is: 9,575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,973.60 : 16,523.60 = 6,938.79 : x
  2. Step 2: Convert to fraction form
    11,973.60/16,523.60 = 6,938.79/x
  3. Step 3: Cross multiply
    11,973.60x = 16,523.60 × 6,938.79
  4. Step 4: Simplify right side
    11,973.60x = 114,653,755.75
  5. Step 5: Solve for x
    x = 114,653,755.75/11,973.60
  6. Step 6: Final answer
    x = 9,575.55

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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.