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Finding the Fourth Proportional to 10,425.87, 14,381.86 and 6,172.78

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Solution

The fourth proportional to 10,425.87, 14,381.86 and 6,172.78 is: 8,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,425.87 : 14,381.86 = 6,172.78 : x
  2. Step 2: Convert to fraction form
    10,425.87/14,381.86 = 6,172.78/x
  3. Step 3: Cross multiply
    10,425.87x = 14,381.86 × 6,172.78
  4. Step 4: Simplify right side
    10,425.87x = 88,776,057.77
  5. Step 5: Solve for x
    x = 88,776,057.77/10,425.87
  6. Step 6: Final answer
    x = 8,514.98

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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.