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Finding the Fourth Proportional to 7,576.31, 10,455.31 and 4,219.77

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Solution

The fourth proportional to 7,576.31, 10,455.31 and 4,219.77 is: 5,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,576.31 : 10,455.31 = 4,219.77 : x
  2. Step 2: Convert to fraction form
    7,576.31/10,455.31 = 4,219.77/x
  3. Step 3: Cross multiply
    7,576.31x = 10,455.31 × 4,219.77
  4. Step 4: Simplify right side
    7,576.31x = 44,119,003.48
  5. Step 5: Solve for x
    x = 44,119,003.48/7,576.31
  6. Step 6: Final answer
    x = 5,823.28

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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.