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Finding the Fourth Proportional to 7,766.37, 11,653.67 and 5,929.29

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Solution

The fourth proportional to 7,766.37, 11,653.67 and 5,929.29 is: 8,897.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766.37 : 11,653.67 = 5,929.29 : x
  2. Step 2: Convert to fraction form
    7,766.37/11,653.67 = 5,929.29/x
  3. Step 3: Cross multiply
    7,766.37x = 11,653.67 × 5,929.29
  4. Step 4: Simplify right side
    7,766.37x = 69,098,003.82
  5. Step 5: Solve for x
    x = 69,098,003.82/7,766.37
  6. Step 6: Final answer
    x = 8,897.08

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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.