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Finding the Fourth Proportional to 10,600.76, 14,635.68 and 6,825.80

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Solution

The fourth proportional to 10,600.76, 14,635.68 and 6,825.80 is: 9,423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,600.76 : 14,635.68 = 6,825.80 : x
  2. Step 2: Convert to fraction form
    10,600.76/14,635.68 = 6,825.80/x
  3. Step 3: Cross multiply
    10,600.76x = 14,635.68 × 6,825.80
  4. Step 4: Simplify right side
    10,600.76x = 99,900,224.54
  5. Step 5: Solve for x
    x = 99,900,224.54/10,600.76
  6. Step 6: Final answer
    x = 9,423.87

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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.