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Finding the Fourth Proportional to 11,261.64, 15,551.42 and 7,289.62

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Solution

The fourth proportional to 11,261.64, 15,551.42 and 7,289.62 is: 10,066.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,261.64 : 15,551.42 = 7,289.62 : x
  2. Step 2: Convert to fraction form
    11,261.64/15,551.42 = 7,289.62/x
  3. Step 3: Cross multiply
    11,261.64x = 15,551.42 × 7,289.62
  4. Step 4: Simplify right side
    11,261.64x = 113,363,942.26
  5. Step 5: Solve for x
    x = 113,363,942.26/11,261.64
  6. Step 6: Final answer
    x = 10,066.38

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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.