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Finding the Fourth Proportional to 11,428.44, 15,774.56 and 6,649.48

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Solution

The fourth proportional to 11,428.44, 15,774.56 and 6,649.48 is: 9,178.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,428.44 : 15,774.56 = 6,649.48 : x
  2. Step 2: Convert to fraction form
    11,428.44/15,774.56 = 6,649.48/x
  3. Step 3: Cross multiply
    11,428.44x = 15,774.56 × 6,649.48
  4. Step 4: Simplify right side
    11,428.44x = 104,892,621.23
  5. Step 5: Solve for x
    x = 104,892,621.23/11,428.44
  6. Step 6: Final answer
    x = 9,178.21

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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.