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Finding the Fourth Proportional to 11,203.57, 15,461.30 and 6,168.16

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Solution

The fourth proportional to 11,203.57, 15,461.30 and 6,168.16 is: 8,512.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203.57 : 15,461.30 = 6,168.16 : x
  2. Step 2: Convert to fraction form
    11,203.57/15,461.30 = 6,168.16/x
  3. Step 3: Cross multiply
    11,203.57x = 15,461.30 × 6,168.16
  4. Step 4: Simplify right side
    11,203.57x = 95,367,741.37
  5. Step 5: Solve for x
    x = 95,367,741.37/11,203.57
  6. Step 6: Final answer
    x = 8,512.26

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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.