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Finding the Fourth Proportional to 11,563.68, 15,956.28 and 6,782.16

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Solution

The fourth proportional to 11,563.68, 15,956.28 and 6,782.16 is: 9,358.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.68 : 15,956.28 = 6,782.16 : x
  2. Step 2: Convert to fraction form
    11,563.68/15,956.28 = 6,782.16/x
  3. Step 3: Cross multiply
    11,563.68x = 15,956.28 × 6,782.16
  4. Step 4: Simplify right side
    11,563.68x = 108,218,043.96
  5. Step 5: Solve for x
    x = 108,218,043.96/11,563.68
  6. Step 6: Final answer
    x = 9,358.44

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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.