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Finding the Fourth Proportional to 7,683.80, 11,527.52 and 3,301.29

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Solution

The fourth proportional to 7,683.80, 11,527.52 and 3,301.29 is: 4,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.80 : 11,527.52 = 3,301.29 : x
  2. Step 2: Convert to fraction form
    7,683.80/11,527.52 = 3,301.29/x
  3. Step 3: Cross multiply
    7,683.80x = 11,527.52 × 3,301.29
  4. Step 4: Simplify right side
    7,683.80x = 38,055,669.99
  5. Step 5: Solve for x
    x = 38,055,669.99/7,683.80
  6. Step 6: Final answer
    x = 4,952.72

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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.