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Finding the Fourth Proportional to 7,377.75, 11,009.97 and 6,589.53

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Solution

The fourth proportional to 7,377.75, 11,009.97 and 6,589.53 is: 9,833.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,377.75 : 11,009.97 = 6,589.53 : x
  2. Step 2: Convert to fraction form
    7,377.75/11,009.97 = 6,589.53/x
  3. Step 3: Cross multiply
    7,377.75x = 11,009.97 × 6,589.53
  4. Step 4: Simplify right side
    7,377.75x = 72,550,527.61
  5. Step 5: Solve for x
    x = 72,550,527.61/7,377.75
  6. Step 6: Final answer
    x = 9,833.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.