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Finding the Fourth Proportional to 7,563.79, 11,347.31 and 3,178.72

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Solution

The fourth proportional to 7,563.79, 11,347.31 and 3,178.72 is: 4,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,563.79 : 11,347.31 = 3,178.72 : x
  2. Step 2: Convert to fraction form
    7,563.79/11,347.31 = 3,178.72/x
  3. Step 3: Cross multiply
    7,563.79x = 11,347.31 × 3,178.72
  4. Step 4: Simplify right side
    7,563.79x = 36,069,921.24
  5. Step 5: Solve for x
    x = 36,069,921.24/7,563.79
  6. Step 6: Final answer
    x = 4,768.76

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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.