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Finding the Fourth Proportional to 11,948.75, 16,487.79 and 6,642.89

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Solution

The fourth proportional to 11,948.75, 16,487.79 and 6,642.89 is: 9,166.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.75 : 16,487.79 = 6,642.89 : x
  2. Step 2: Convert to fraction form
    11,948.75/16,487.79 = 6,642.89/x
  3. Step 3: Cross multiply
    11,948.75x = 16,487.79 × 6,642.89
  4. Step 4: Simplify right side
    11,948.75x = 109,526,575.31
  5. Step 5: Solve for x
    x = 109,526,575.31/11,948.75
  6. Step 6: Final answer
    x = 9,166.36

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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.