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Finding the Fourth Proportional to 7,920.53, 11,935.27 and 6,564.38

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Solution

The fourth proportional to 7,920.53, 11,935.27 and 6,564.38 is: 9,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.53 : 11,935.27 = 6,564.38 : x
  2. Step 2: Convert to fraction form
    7,920.53/11,935.27 = 6,564.38/x
  3. Step 3: Cross multiply
    7,920.53x = 11,935.27 × 6,564.38
  4. Step 4: Simplify right side
    7,920.53x = 78,347,661.11
  5. Step 5: Solve for x
    x = 78,347,661.11/7,920.53
  6. Step 6: Final answer
    x = 9,891.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.