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Finding the Fourth Proportional to 7,696.37, 11,538.40 and 4,411.77

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Solution

The fourth proportional to 7,696.37, 11,538.40 and 4,411.77 is: 6,614.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.37 : 11,538.40 = 4,411.77 : x
  2. Step 2: Convert to fraction form
    7,696.37/11,538.40 = 4,411.77/x
  3. Step 3: Cross multiply
    7,696.37x = 11,538.40 × 4,411.77
  4. Step 4: Simplify right side
    7,696.37x = 50,904,720.94
  5. Step 5: Solve for x
    x = 50,904,720.94/7,696.37
  6. Step 6: Final answer
    x = 6,614.12

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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.