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Finding the Fourth Proportional to 7,647.57, 11,475.53 and 2,967.76

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Solution

The fourth proportional to 7,647.57, 11,475.53 and 2,967.76 is: 4,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.57 : 11,475.53 = 2,967.76 : x
  2. Step 2: Convert to fraction form
    7,647.57/11,475.53 = 2,967.76/x
  3. Step 3: Cross multiply
    7,647.57x = 11,475.53 × 2,967.76
  4. Step 4: Simplify right side
    7,647.57x = 34,056,655.02
  5. Step 5: Solve for x
    x = 34,056,655.02/7,647.57
  6. Step 6: Final answer
    x = 4,453.26

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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.