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Finding the Fourth Proportional to 10,825.46, 14,900.61 and 7,676.18

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Solution

The fourth proportional to 10,825.46, 14,900.61 and 7,676.18 is: 10,565.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,825.46 : 14,900.61 = 7,676.18 : x
  2. Step 2: Convert to fraction form
    10,825.46/14,900.61 = 7,676.18/x
  3. Step 3: Cross multiply
    10,825.46x = 14,900.61 × 7,676.18
  4. Step 4: Simplify right side
    10,825.46x = 114,379,764.47
  5. Step 5: Solve for x
    x = 114,379,764.47/10,825.46
  6. Step 6: Final answer
    x = 10,565.81

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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.