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Finding the Fourth Proportional to 11,506.70, 15,879.83 and 6,471.74

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Solution

The fourth proportional to 11,506.70, 15,879.83 and 6,471.74 is: 8,931.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.70 : 15,879.83 = 6,471.74 : x
  2. Step 2: Convert to fraction form
    11,506.70/15,879.83 = 6,471.74/x
  3. Step 3: Cross multiply
    11,506.70x = 15,879.83 × 6,471.74
  4. Step 4: Simplify right side
    11,506.70x = 102,770,019.25
  5. Step 5: Solve for x
    x = 102,770,019.25/11,506.70
  6. Step 6: Final answer
    x = 8,931.32

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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.