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Finding the Fourth Proportional to 11,164.72, 15,407.88 and 6,448.09

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Solution

The fourth proportional to 11,164.72, 15,407.88 and 6,448.09 is: 8,898.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,164.72 : 15,407.88 = 6,448.09 : x
  2. Step 2: Convert to fraction form
    11,164.72/15,407.88 = 6,448.09/x
  3. Step 3: Cross multiply
    11,164.72x = 15,407.88 × 6,448.09
  4. Step 4: Simplify right side
    11,164.72x = 99,351,396.95
  5. Step 5: Solve for x
    x = 99,351,396.95/11,164.72
  6. Step 6: Final answer
    x = 8,898.69

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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.