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Finding the Fourth Proportional to 10,879.13, 15,013.80 and 6,164.93

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Solution

The fourth proportional to 10,879.13, 15,013.80 and 6,164.93 is: 8,507.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.13 : 15,013.80 = 6,164.93 : x
  2. Step 2: Convert to fraction form
    10,879.13/15,013.80 = 6,164.93/x
  3. Step 3: Cross multiply
    10,879.13x = 15,013.80 × 6,164.93
  4. Step 4: Simplify right side
    10,879.13x = 92,558,950.97
  5. Step 5: Solve for x
    x = 92,558,950.97/10,879.13
  6. Step 6: Final answer
    x = 8,507.94

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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.