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Finding the Fourth Proportional to 7,640.81, 11,457.25 and 4,521.80

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Solution

The fourth proportional to 7,640.81, 11,457.25 and 4,521.80 is: 6,780.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,640.81 : 11,457.25 = 4,521.80 : x
  2. Step 2: Convert to fraction form
    7,640.81/11,457.25 = 4,521.80/x
  3. Step 3: Cross multiply
    7,640.81x = 11,457.25 × 4,521.80
  4. Step 4: Simplify right side
    7,640.81x = 51,807,378.17
  5. Step 5: Solve for x
    x = 51,807,378.17/7,640.81
  6. Step 6: Final answer
    x = 6,780.36

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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.