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Finding the Fourth Proportional to 11,588.21, 15,990.53 and 7,112.15

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Solution

The fourth proportional to 11,588.21, 15,990.53 and 7,112.15 is: 9,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.21 : 15,990.53 = 7,112.15 : x
  2. Step 2: Convert to fraction form
    11,588.21/15,990.53 = 7,112.15/x
  3. Step 3: Cross multiply
    11,588.21x = 15,990.53 × 7,112.15
  4. Step 4: Simplify right side
    11,588.21x = 113,727,047.94
  5. Step 5: Solve for x
    x = 113,727,047.94/11,588.21
  6. Step 6: Final answer
    x = 9,814.03

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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.