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Finding the Fourth Proportional to 10,600.86, 14,634.66 and 7,471.02

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Solution

The fourth proportional to 10,600.86, 14,634.66 and 7,471.02 is: 10,313.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.86 : 14,634.66 = 7,471.02 : x
  2. Step 2: Convert to fraction form
    10,600.86/14,634.66 = 7,471.02/x
  3. Step 3: Cross multiply
    10,600.86x = 14,634.66 × 7,471.02
  4. Step 4: Simplify right side
    10,600.86x = 109,335,837.55
  5. Step 5: Solve for x
    x = 109,335,837.55/10,600.86
  6. Step 6: Final answer
    x = 10,313.86

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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.