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Finding the Fourth Proportional to 7,568.48, 10,440.32 and 7,076.64

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Solution

The fourth proportional to 7,568.48, 10,440.32 and 7,076.64 is: 9,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,568.48 : 10,440.32 = 7,076.64 : x
  2. Step 2: Convert to fraction form
    7,568.48/10,440.32 = 7,076.64/x
  3. Step 3: Cross multiply
    7,568.48x = 10,440.32 × 7,076.64
  4. Step 4: Simplify right side
    7,568.48x = 73,882,386.12
  5. Step 5: Solve for x
    x = 73,882,386.12/7,568.48
  6. Step 6: Final answer
    x = 9,761.85

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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.