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Finding the Fourth Proportional to 11,584.80, 15,989.64 and 6,551.94

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Solution

The fourth proportional to 11,584.80, 15,989.64 and 6,551.94 is: 9,043.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,584.80 : 15,989.64 = 6,551.94 : x
  2. Step 2: Convert to fraction form
    11,584.80/15,989.64 = 6,551.94/x
  3. Step 3: Cross multiply
    11,584.80x = 15,989.64 × 6,551.94
  4. Step 4: Simplify right side
    11,584.80x = 104,763,161.90
  5. Step 5: Solve for x
    x = 104,763,161.90/11,584.80
  6. Step 6: Final answer
    x = 9,043.16

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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.