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Finding the Fourth Proportional to 11,364.28, 15,682.71 and 6,649.48

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Solution

The fourth proportional to 11,364.28, 15,682.71 and 6,649.48 is: 9,176.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,364.28 : 15,682.71 = 6,649.48 : x
  2. Step 2: Convert to fraction form
    11,364.28/15,682.71 = 6,649.48/x
  3. Step 3: Cross multiply
    11,364.28x = 15,682.71 × 6,649.48
  4. Step 4: Simplify right side
    11,364.28x = 104,281,866.49
  5. Step 5: Solve for x
    x = 104,281,866.49/11,364.28
  6. Step 6: Final answer
    x = 9,176.28

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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.