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Finding the Fourth Proportional to 11,847.64, 16,347.56 and 7,599.48

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Solution

The fourth proportional to 11,847.64, 16,347.56 and 7,599.48 is: 10,485.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.64 : 16,347.56 = 7,599.48 : x
  2. Step 2: Convert to fraction form
    11,847.64/16,347.56 = 7,599.48/x
  3. Step 3: Cross multiply
    11,847.64x = 16,347.56 × 7,599.48
  4. Step 4: Simplify right side
    11,847.64x = 124,232,955.27
  5. Step 5: Solve for x
    x = 124,232,955.27/11,847.64
  6. Step 6: Final answer
    x = 10,485.88

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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.