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Finding the Fourth Proportional to 10,588.37, 15,906.87 and 9,112.14

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Solution

The fourth proportional to 10,588.37, 15,906.87 and 9,112.14 is: 13,689.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,588.37 : 15,906.87 = 9,112.14 : x
  2. Step 2: Convert to fraction form
    10,588.37/15,906.87 = 9,112.14/x
  3. Step 3: Cross multiply
    10,588.37x = 15,906.87 × 9,112.14
  4. Step 4: Simplify right side
    10,588.37x = 144,945,626.40
  5. Step 5: Solve for x
    x = 144,945,626.40/10,588.37
  6. Step 6: Final answer
    x = 13,689.14

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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.