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Finding the Fourth Proportional to 7,652.70, 11,475.81 and 2,905.74

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Solution

The fourth proportional to 7,652.70, 11,475.81 and 2,905.74 is: 4,357.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.70 : 11,475.81 = 2,905.74 : x
  2. Step 2: Convert to fraction form
    7,652.70/11,475.81 = 2,905.74/x
  3. Step 3: Cross multiply
    7,652.70x = 11,475.81 × 2,905.74
  4. Step 4: Simplify right side
    7,652.70x = 33,345,720.15
  5. Step 5: Solve for x
    x = 33,345,720.15/7,652.70
  6. Step 6: Final answer
    x = 4,357.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.