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Finding the Fourth Proportional to 7,133.42, 10,686.44 and 4,351.84

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Solution

The fourth proportional to 7,133.42, 10,686.44 and 4,351.84 is: 6,519.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,133.42 : 10,686.44 = 4,351.84 : x
  2. Step 2: Convert to fraction form
    7,133.42/10,686.44 = 4,351.84/x
  3. Step 3: Cross multiply
    7,133.42x = 10,686.44 × 4,351.84
  4. Step 4: Simplify right side
    7,133.42x = 46,505,677.05
  5. Step 5: Solve for x
    x = 46,505,677.05/7,133.42
  6. Step 6: Final answer
    x = 6,519.41

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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.