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Finding the Fourth Proportional to 11,752.18, 16,217.90 and 6,447

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Solution

The fourth proportional to 11,752.18, 16,217.90 and 6,447 is: 8,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.18 : 16,217.90 = 6,447 : x
  2. Step 2: Convert to fraction form
    11,752.18/16,217.90 = 6,447/x
  3. Step 3: Cross multiply
    11,752.18x = 16,217.90 × 6,447
  4. Step 4: Simplify right side
    11,752.18x = 104,556,801.30
  5. Step 5: Solve for x
    x = 104,556,801.30/11,752.18
  6. Step 6: Final answer
    x = 8,896.80

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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.