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Finding the Fourth Proportional to 11,587.84, 17,375.48 and 4,087.64

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Solution

The fourth proportional to 11,587.84, 17,375.48 and 4,087.64 is: 6,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.84 : 17,375.48 = 4,087.64 : x
  2. Step 2: Convert to fraction form
    11,587.84/17,375.48 = 4,087.64/x
  3. Step 3: Cross multiply
    11,587.84x = 17,375.48 × 4,087.64
  4. Step 4: Simplify right side
    11,587.84x = 71,024,707.07
  5. Step 5: Solve for x
    x = 71,024,707.07/11,587.84
  6. Step 6: Final answer
    x = 6,129.24

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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.