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Finding the Fourth Proportional to 11,178.14, 15,421.40 and 7,201.56

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Solution

The fourth proportional to 11,178.14, 15,421.40 and 7,201.56 is: 9,935.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,178.14 : 15,421.40 = 7,201.56 : x
  2. Step 2: Convert to fraction form
    11,178.14/15,421.40 = 7,201.56/x
  3. Step 3: Cross multiply
    11,178.14x = 15,421.40 × 7,201.56
  4. Step 4: Simplify right side
    11,178.14x = 111,058,137.38
  5. Step 5: Solve for x
    x = 111,058,137.38/11,178.14
  6. Step 6: Final answer
    x = 9,935.30

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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.