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Finding the Fourth Proportional to 10,879.70, 15,013.46 and 6,164.02

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Solution

The fourth proportional to 10,879.70, 15,013.46 and 6,164.02 is: 8,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.70 : 15,013.46 = 6,164.02 : x
  2. Step 2: Convert to fraction form
    10,879.70/15,013.46 = 6,164.02/x
  3. Step 3: Cross multiply
    10,879.70x = 15,013.46 × 6,164.02
  4. Step 4: Simplify right side
    10,879.70x = 92,543,267.71
  5. Step 5: Solve for x
    x = 92,543,267.71/10,879.70
  6. Step 6: Final answer
    x = 8,506.05

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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.