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Finding the Fourth Proportional to 7,741.34, 11,615.09 and 2,477.17

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Solution

The fourth proportional to 7,741.34, 11,615.09 and 2,477.17 is: 3,716.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.34 : 11,615.09 = 2,477.17 : x
  2. Step 2: Convert to fraction form
    7,741.34/11,615.09 = 2,477.17/x
  3. Step 3: Cross multiply
    7,741.34x = 11,615.09 × 2,477.17
  4. Step 4: Simplify right side
    7,741.34x = 28,772,510.19
  5. Step 5: Solve for x
    x = 28,772,510.19/7,741.34
  6. Step 6: Final answer
    x = 3,716.73

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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.