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Finding the Fourth Proportional to 7,684.66, 11,534.28 and 3,529.36

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Solution

The fourth proportional to 7,684.66, 11,534.28 and 3,529.36 is: 5,297.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.66 : 11,534.28 = 3,529.36 : x
  2. Step 2: Convert to fraction form
    7,684.66/11,534.28 = 3,529.36/x
  3. Step 3: Cross multiply
    7,684.66x = 11,534.28 × 3,529.36
  4. Step 4: Simplify right side
    7,684.66x = 40,708,626.46
  5. Step 5: Solve for x
    x = 40,708,626.46/7,684.66
  6. Step 6: Final answer
    x = 5,297.39

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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.