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Finding the Fourth Proportional to 7,684.89, 11,537.06 and 6,537.93

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Solution

The fourth proportional to 7,684.89, 11,537.06 and 6,537.93 is: 9,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684.89 : 11,537.06 = 6,537.93 : x
  2. Step 2: Convert to fraction form
    7,684.89/11,537.06 = 6,537.93/x
  3. Step 3: Cross multiply
    7,684.89x = 11,537.06 × 6,537.93
  4. Step 4: Simplify right side
    7,684.89x = 75,428,458.00
  5. Step 5: Solve for x
    x = 75,428,458.00/7,684.89
  6. Step 6: Final answer
    x = 9,815.16

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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.