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Finding the Fourth Proportional to 11,588.10, 15,991.49 and 6,552.32

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Solution

The fourth proportional to 11,588.10, 15,991.49 and 6,552.32 is: 9,042.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.10 : 15,991.49 = 6,552.32 : x
  2. Step 2: Convert to fraction form
    11,588.10/15,991.49 = 6,552.32/x
  3. Step 3: Cross multiply
    11,588.10x = 15,991.49 × 6,552.32
  4. Step 4: Simplify right side
    11,588.10x = 104,781,327.00
  5. Step 5: Solve for x
    x = 104,781,327.00/11,588.10
  6. Step 6: Final answer
    x = 9,042.15

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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.