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Finding the Fourth Proportional to 8,670, 11,960.79 and 5,083.13

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Solution

The fourth proportional to 8,670, 11,960.79 and 5,083.13 is: 7,012.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670 : 11,960.79 = 5,083.13 : x
  2. Step 2: Convert to fraction form
    8,670/11,960.79 = 5,083.13/x
  3. Step 3: Cross multiply
    8,670x = 11,960.79 × 5,083.13
  4. Step 4: Simplify right side
    8,670x = 60,798,190.67
  5. Step 5: Solve for x
    x = 60,798,190.67/8,670
  6. Step 6: Final answer
    x = 7,012.48

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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.