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Finding the Fourth Proportional to 11,185.68, 15,429.24 and 7,202.64

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Solution

The fourth proportional to 11,185.68, 15,429.24 and 7,202.64 is: 9,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.68 : 15,429.24 = 7,202.64 : x
  2. Step 2: Convert to fraction form
    11,185.68/15,429.24 = 7,202.64/x
  3. Step 3: Cross multiply
    11,185.68x = 15,429.24 × 7,202.64
  4. Step 4: Simplify right side
    11,185.68x = 111,131,261.19
  5. Step 5: Solve for x
    x = 111,131,261.19/11,185.68
  6. Step 6: Final answer
    x = 9,935.14

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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.