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Finding the Fourth Proportional to 12,316.62, 17,002.53 and 7,846.50

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Solution

The fourth proportional to 12,316.62, 17,002.53 and 7,846.50 is: 10,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,316.62 : 17,002.53 = 7,846.50 : x
  2. Step 2: Convert to fraction form
    12,316.62/17,002.53 = 7,846.50/x
  3. Step 3: Cross multiply
    12,316.62x = 17,002.53 × 7,846.50
  4. Step 4: Simplify right side
    12,316.62x = 133,410,351.65
  5. Step 5: Solve for x
    x = 133,410,351.65/12,316.62
  6. Step 6: Final answer
    x = 10,831.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.