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Finding the Fourth Proportional to 7,264.56, 10,024.50 and 4,611

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Solution

The fourth proportional to 7,264.56, 10,024.50 and 4,611 is: 6,362.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.56 : 10,024.50 = 4,611 : x
  2. Step 2: Convert to fraction form
    7,264.56/10,024.50 = 4,611/x
  3. Step 3: Cross multiply
    7,264.56x = 10,024.50 × 4,611
  4. Step 4: Simplify right side
    7,264.56x = 46,222,969.50
  5. Step 5: Solve for x
    x = 46,222,969.50/7,264.56
  6. Step 6: Final answer
    x = 6,362.80

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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.