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Finding the Fourth Proportional to 7,627.16, 11,431.32 and 4,504

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Solution

The fourth proportional to 7,627.16, 11,431.32 and 4,504 is: 6,750.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,627.16 : 11,431.32 = 4,504 : x
  2. Step 2: Convert to fraction form
    7,627.16/11,431.32 = 4,504/x
  3. Step 3: Cross multiply
    7,627.16x = 11,431.32 × 4,504
  4. Step 4: Simplify right side
    7,627.16x = 51,486,665.28
  5. Step 5: Solve for x
    x = 51,486,665.28/7,627.16
  6. Step 6: Final answer
    x = 6,750.44

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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.