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Finding the Fourth Proportional to 7,652.98, 11,475.00 and 2,967.51

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Solution

The fourth proportional to 7,652.98, 11,475.00 and 2,967.51 is: 4,449.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,652.98 : 11,475.00 = 2,967.51 : x
  2. Step 2: Convert to fraction form
    7,652.98/11,475.00 = 2,967.51/x
  3. Step 3: Cross multiply
    7,652.98x = 11,475.00 × 2,967.51
  4. Step 4: Simplify right side
    7,652.98x = 34,052,188.38
  5. Step 5: Solve for x
    x = 34,052,188.38/7,652.98
  6. Step 6: Final answer
    x = 4,449.53

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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.