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Finding the Fourth Proportional to 11,948.67, 16,488 and 6,911.88

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Solution

The fourth proportional to 11,948.67, 16,488 and 6,911.88 is: 9,537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.67 : 16,488 = 6,911.88 : x
  2. Step 2: Convert to fraction form
    11,948.67/16,488 = 6,911.88/x
  3. Step 3: Cross multiply
    11,948.67x = 16,488 × 6,911.88
  4. Step 4: Simplify right side
    11,948.67x = 113,963,077.44
  5. Step 5: Solve for x
    x = 113,963,077.44/11,948.67
  6. Step 6: Final answer
    x = 9,537.72

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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.