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Finding the Fourth Proportional to 11,506.72, 15,879.06 and 6,402.22

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Solution

The fourth proportional to 11,506.72, 15,879.06 and 6,402.22 is: 8,834.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,506.72 : 15,879.06 = 6,402.22 : x
  2. Step 2: Convert to fraction form
    11,506.72/15,879.06 = 6,402.22/x
  3. Step 3: Cross multiply
    11,506.72x = 15,879.06 × 6,402.22
  4. Step 4: Simplify right side
    11,506.72x = 101,661,235.51
  5. Step 5: Solve for x
    x = 101,661,235.51/11,506.72
  6. Step 6: Final answer
    x = 8,834.94

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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.