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Finding the Fourth Proportional to 7,655.17, 11,471.80 and 4,361.47

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Solution

The fourth proportional to 7,655.17, 11,471.80 and 4,361.47 is: 6,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,655.17 : 11,471.80 = 4,361.47 : x
  2. Step 2: Convert to fraction form
    7,655.17/11,471.80 = 4,361.47/x
  3. Step 3: Cross multiply
    7,655.17x = 11,471.80 × 4,361.47
  4. Step 4: Simplify right side
    7,655.17x = 50,033,911.55
  5. Step 5: Solve for x
    x = 50,033,911.55/7,655.17
  6. Step 6: Final answer
    x = 6,535.96

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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.