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Finding the Fourth Proportional to 11,203, 15,461.10 and 6,235.96

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Solution

The fourth proportional to 11,203, 15,461.10 and 6,235.96 is: 8,606.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,203 : 15,461.10 = 6,235.96 : x
  2. Step 2: Convert to fraction form
    11,203/15,461.10 = 6,235.96/x
  3. Step 3: Cross multiply
    11,203x = 15,461.10 × 6,235.96
  4. Step 4: Simplify right side
    11,203x = 96,414,801.16
  5. Step 5: Solve for x
    x = 96,414,801.16/11,203
  6. Step 6: Final answer
    x = 8,606.16

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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.