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Finding the Fourth Proportional to 7,644.98, 11,459.27 and 3,741.19

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Solution

The fourth proportional to 7,644.98, 11,459.27 and 3,741.19 is: 5,607.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.98 : 11,459.27 = 3,741.19 : x
  2. Step 2: Convert to fraction form
    7,644.98/11,459.27 = 3,741.19/x
  3. Step 3: Cross multiply
    7,644.98x = 11,459.27 × 3,741.19
  4. Step 4: Simplify right side
    7,644.98x = 42,871,287.04
  5. Step 5: Solve for x
    x = 42,871,287.04/7,644.98
  6. Step 6: Final answer
    x = 5,607.77

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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.