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Finding the Fourth Proportional to 11,587.41, 17,365.91 and 6,592.08

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Solution

The fourth proportional to 11,587.41, 17,365.91 and 6,592.08 is: 9,879.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,587.41 : 17,365.91 = 6,592.08 : x
  2. Step 2: Convert to fraction form
    11,587.41/17,365.91 = 6,592.08/x
  3. Step 3: Cross multiply
    11,587.41x = 17,365.91 × 6,592.08
  4. Step 4: Simplify right side
    11,587.41x = 114,477,435.03
  5. Step 5: Solve for x
    x = 114,477,435.03/11,587.41
  6. Step 6: Final answer
    x = 9,879.47

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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.