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Finding the Fourth Proportional to 11,563.16, 15,957.20 and 6,847.13

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Solution

The fourth proportional to 11,563.16, 15,957.20 and 6,847.13 is: 9,449.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,563.16 : 15,957.20 = 6,847.13 : x
  2. Step 2: Convert to fraction form
    11,563.16/15,957.20 = 6,847.13/x
  3. Step 3: Cross multiply
    11,563.16x = 15,957.20 × 6,847.13
  4. Step 4: Simplify right side
    11,563.16x = 109,261,079.85
  5. Step 5: Solve for x
    x = 109,261,079.85/11,563.16
  6. Step 6: Final answer
    x = 9,449.07

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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.