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Finding the Fourth Proportional to 11,590.89, 17,386.07 and 6,331.02

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Solution

The fourth proportional to 11,590.89, 17,386.07 and 6,331.02 is: 9,496.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,590.89 : 17,386.07 = 6,331.02 : x
  2. Step 2: Convert to fraction form
    11,590.89/17,386.07 = 6,331.02/x
  3. Step 3: Cross multiply
    11,590.89x = 17,386.07 × 6,331.02
  4. Step 4: Simplify right side
    11,590.89x = 110,071,525.24
  5. Step 5: Solve for x
    x = 110,071,525.24/11,590.89
  6. Step 6: Final answer
    x = 9,496.38

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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.