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Finding the Fourth Proportional to 11,437.80, 15,786.66 and 6,724.81

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Solution

The fourth proportional to 11,437.80, 15,786.66 and 6,724.81 is: 9,281.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.80 : 15,786.66 = 6,724.81 : x
  2. Step 2: Convert to fraction form
    11,437.80/15,786.66 = 6,724.81/x
  3. Step 3: Cross multiply
    11,437.80x = 15,786.66 × 6,724.81
  4. Step 4: Simplify right side
    11,437.80x = 106,162,289.03
  5. Step 5: Solve for x
    x = 106,162,289.03/11,437.80
  6. Step 6: Final answer
    x = 9,281.71

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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.