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Finding the Fourth Proportional to 7,684.29, 11,507.96 and 5,211.62

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Solution

The fourth proportional to 7,684.29, 11,507.96 and 5,211.62 is: 7,804.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.29 : 11,507.96 = 5,211.62 : x
  2. Step 2: Convert to fraction form
    7,684.29/11,507.96 = 5,211.62/x
  3. Step 3: Cross multiply
    7,684.29x = 11,507.96 × 5,211.62
  4. Step 4: Simplify right side
    7,684.29x = 59,975,030.90
  5. Step 5: Solve for x
    x = 59,975,030.90/7,684.29
  6. Step 6: Final answer
    x = 7,804.89

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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.