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Finding the Fourth Proportional to 6,726.99, 10,095.75 and 4,661.49

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Solution

The fourth proportional to 6,726.99, 10,095.75 and 4,661.49 is: 6,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,726.99 : 10,095.75 = 4,661.49 : x
  2. Step 2: Convert to fraction form
    6,726.99/10,095.75 = 4,661.49/x
  3. Step 3: Cross multiply
    6,726.99x = 10,095.75 × 4,661.49
  4. Step 4: Simplify right side
    6,726.99x = 47,061,237.67
  5. Step 5: Solve for x
    x = 47,061,237.67/6,726.99
  6. Step 6: Final answer
    x = 6,995.88

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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.