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Finding the Fourth Proportional to 10,665.54, 14,717.26 and 6,188.52

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Solution

The fourth proportional to 10,665.54, 14,717.26 and 6,188.52 is: 8,539.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.54 : 14,717.26 = 6,188.52 : x
  2. Step 2: Convert to fraction form
    10,665.54/14,717.26 = 6,188.52/x
  3. Step 3: Cross multiply
    10,665.54x = 14,717.26 × 6,188.52
  4. Step 4: Simplify right side
    10,665.54x = 91,078,057.86
  5. Step 5: Solve for x
    x = 91,078,057.86/10,665.54
  6. Step 6: Final answer
    x = 8,539.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.