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Finding the Fourth Proportional to 11,017.38, 15,197.06 and 6,537.96

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Solution

The fourth proportional to 11,017.38, 15,197.06 and 6,537.96 is: 9,018.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,017.38 : 15,197.06 = 6,537.96 : x
  2. Step 2: Convert to fraction form
    11,017.38/15,197.06 = 6,537.96/x
  3. Step 3: Cross multiply
    11,017.38x = 15,197.06 × 6,537.96
  4. Step 4: Simplify right side
    11,017.38x = 99,357,770.40
  5. Step 5: Solve for x
    x = 99,357,770.40/11,017.38
  6. Step 6: Final answer
    x = 9,018.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.