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Finding the Fourth Proportional to 11,563.89, 15,956.45 and 6,782.02

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Solution

The fourth proportional to 11,563.89, 15,956.45 and 6,782.02 is: 9,358.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.89 : 15,956.45 = 6,782.02 : x
  2. Step 2: Convert to fraction form
    11,563.89/15,956.45 = 6,782.02/x
  3. Step 3: Cross multiply
    11,563.89x = 15,956.45 × 6,782.02
  4. Step 4: Simplify right side
    11,563.89x = 108,216,963.03
  5. Step 5: Solve for x
    x = 108,216,963.03/11,563.89
  6. Step 6: Final answer
    x = 9,358.18

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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.