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Finding the Fourth Proportional to 11,551.64, 15,941.28 and 6,246.46

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Solution

The fourth proportional to 11,551.64, 15,941.28 and 6,246.46 is: 8,620.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,551.64 : 15,941.28 = 6,246.46 : x
  2. Step 2: Convert to fraction form
    11,551.64/15,941.28 = 6,246.46/x
  3. Step 3: Cross multiply
    11,551.64x = 15,941.28 × 6,246.46
  4. Step 4: Simplify right side
    11,551.64x = 99,576,571.37
  5. Step 5: Solve for x
    x = 99,576,571.37/11,551.64
  6. Step 6: Final answer
    x = 8,620.12

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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.