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Finding the Fourth Proportional to 11,567.64, 17,351.51 and 2,802.54

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Solution

The fourth proportional to 11,567.64, 17,351.51 and 2,802.54 is: 4,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,567.64 : 17,351.51 = 2,802.54 : x
  2. Step 2: Convert to fraction form
    11,567.64/17,351.51 = 2,802.54/x
  3. Step 3: Cross multiply
    11,567.64x = 17,351.51 × 2,802.54
  4. Step 4: Simplify right side
    11,567.64x = 48,628,286.82
  5. Step 5: Solve for x
    x = 48,628,286.82/11,567.64
  6. Step 6: Final answer
    x = 4,203.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.