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Finding the Fourth Proportional to 7,647.26, 11,474.09 and 2,970.53

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Solution

The fourth proportional to 7,647.26, 11,474.09 and 2,970.53 is: 4,457.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,647.26 : 11,474.09 = 2,970.53 : x
  2. Step 2: Convert to fraction form
    7,647.26/11,474.09 = 2,970.53/x
  3. Step 3: Cross multiply
    7,647.26x = 11,474.09 × 2,970.53
  4. Step 4: Simplify right side
    7,647.26x = 34,084,056.34
  5. Step 5: Solve for x
    x = 34,084,056.34/7,647.26
  6. Step 6: Final answer
    x = 4,457.03

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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.