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Finding the Fourth Proportional to 6,707.72, 10,036.67 and 4,029.86

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Solution

The fourth proportional to 6,707.72, 10,036.67 and 4,029.86 is: 6,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,707.72 : 10,036.67 = 4,029.86 : x
  2. Step 2: Convert to fraction form
    6,707.72/10,036.67 = 4,029.86/x
  3. Step 3: Cross multiply
    6,707.72x = 10,036.67 × 4,029.86
  4. Step 4: Simplify right side
    6,707.72x = 40,446,374.97
  5. Step 5: Solve for x
    x = 40,446,374.97/6,707.72
  6. Step 6: Final answer
    x = 6,029.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.