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Finding the Fourth Proportional to 11,904.64, 17,859.94 and 3,584.47

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Solution

The fourth proportional to 11,904.64, 17,859.94 and 3,584.47 is: 5,377.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,904.64 : 17,859.94 = 3,584.47 : x
  2. Step 2: Convert to fraction form
    11,904.64/17,859.94 = 3,584.47/x
  3. Step 3: Cross multiply
    11,904.64x = 17,859.94 × 3,584.47
  4. Step 4: Simplify right side
    11,904.64x = 64,018,401.21
  5. Step 5: Solve for x
    x = 64,018,401.21/11,904.64
  6. Step 6: Final answer
    x = 5,377.60

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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.