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Finding the Fourth Proportional to 10,600.50, 14,628.70 and 5,885.22

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Solution

The fourth proportional to 10,600.50, 14,628.70 and 5,885.22 is: 8,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.50 : 14,628.70 = 5,885.22 : x
  2. Step 2: Convert to fraction form
    10,600.50/14,628.70 = 5,885.22/x
  3. Step 3: Cross multiply
    10,600.50x = 14,628.70 × 5,885.22
  4. Step 4: Simplify right side
    10,600.50x = 86,093,117.81
  5. Step 5: Solve for x
    x = 86,093,117.81/10,600.50
  6. Step 6: Final answer
    x = 8,121.61

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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.