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Finding the Fourth Proportional to 7,576.76, 10,451.86 and 5,153.24

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Solution

The fourth proportional to 7,576.76, 10,451.86 and 5,153.24 is: 7,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.76 : 10,451.86 = 5,153.24 : x
  2. Step 2: Convert to fraction form
    7,576.76/10,451.86 = 5,153.24/x
  3. Step 3: Cross multiply
    7,576.76x = 10,451.86 × 5,153.24
  4. Step 4: Simplify right side
    7,576.76x = 53,860,943.03
  5. Step 5: Solve for x
    x = 53,860,943.03/7,576.76
  6. Step 6: Final answer
    x = 7,108.70

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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.