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Finding the Fourth Proportional to 11,645.84, 17,467.32 and 4,718.16

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Solution

The fourth proportional to 11,645.84, 17,467.32 and 4,718.16 is: 7,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.84 : 17,467.32 = 4,718.16 : x
  2. Step 2: Convert to fraction form
    11,645.84/17,467.32 = 4,718.16/x
  3. Step 3: Cross multiply
    11,645.84x = 17,467.32 × 4,718.16
  4. Step 4: Simplify right side
    11,645.84x = 82,413,610.53
  5. Step 5: Solve for x
    x = 82,413,610.53/11,645.84
  6. Step 6: Final answer
    x = 7,076.66

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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.