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Finding the Fourth Proportional to 11,584.89, 15,987.78 and 6,549.32

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Solution

The fourth proportional to 11,584.89, 15,987.78 and 6,549.32 is: 9,038.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.89 : 15,987.78 = 6,549.32 : x
  2. Step 2: Convert to fraction form
    11,584.89/15,987.78 = 6,549.32/x
  3. Step 3: Cross multiply
    11,584.89x = 15,987.78 × 6,549.32
  4. Step 4: Simplify right side
    11,584.89x = 104,709,007.37
  5. Step 5: Solve for x
    x = 104,709,007.37/11,584.89
  6. Step 6: Final answer
    x = 9,038.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.