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Finding the Fourth Proportional to 7,134.39, 10,674.85 and 5,902.38

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Solution

The fourth proportional to 7,134.39, 10,674.85 and 5,902.38 is: 8,831.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.39 : 10,674.85 = 5,902.38 : x
  2. Step 2: Convert to fraction form
    7,134.39/10,674.85 = 5,902.38/x
  3. Step 3: Cross multiply
    7,134.39x = 10,674.85 × 5,902.38
  4. Step 4: Simplify right side
    7,134.39x = 63,007,021.14
  5. Step 5: Solve for x
    x = 63,007,021.14/7,134.39
  6. Step 6: Final answer
    x = 8,831.45

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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.