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Finding the Fourth Proportional to 11,286.16, 15,580.22 and 7,515.60

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Solution

The fourth proportional to 11,286.16, 15,580.22 and 7,515.60 is: 10,375.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,286.16 : 15,580.22 = 7,515.60 : x
  2. Step 2: Convert to fraction form
    11,286.16/15,580.22 = 7,515.60/x
  3. Step 3: Cross multiply
    11,286.16x = 15,580.22 × 7,515.60
  4. Step 4: Simplify right side
    11,286.16x = 117,094,701.43
  5. Step 5: Solve for x
    x = 117,094,701.43/11,286.16
  6. Step 6: Final answer
    x = 10,375.07

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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.