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Finding the Fourth Proportional to 7,655.18, 11,471.80 and 4,361.46

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Solution

The fourth proportional to 7,655.18, 11,471.80 and 4,361.46 is: 6,535.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.18 : 11,471.80 = 4,361.46 : x
  2. Step 2: Convert to fraction form
    7,655.18/11,471.80 = 4,361.46/x
  3. Step 3: Cross multiply
    7,655.18x = 11,471.80 × 4,361.46
  4. Step 4: Simplify right side
    7,655.18x = 50,033,796.83
  5. Step 5: Solve for x
    x = 50,033,796.83/7,655.18
  6. Step 6: Final answer
    x = 6,535.94

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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.