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Finding the Fourth Proportional to 7,683.27, 11,534.01 and 6,465.84

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Solution

The fourth proportional to 7,683.27, 11,534.01 and 6,465.84 is: 9,706.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,683.27 : 11,534.01 = 6,465.84 : x
  2. Step 2: Convert to fraction form
    7,683.27/11,534.01 = 6,465.84/x
  3. Step 3: Cross multiply
    7,683.27x = 11,534.01 × 6,465.84
  4. Step 4: Simplify right side
    7,683.27x = 74,577,063.22
  5. Step 5: Solve for x
    x = 74,577,063.22/7,683.27
  6. Step 6: Final answer
    x = 9,706.42

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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.