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Finding the Fourth Proportional to 10,257.80, 14,153.86 and 6,008.64

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Solution

The fourth proportional to 10,257.80, 14,153.86 and 6,008.64 is: 8,290.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.80 : 14,153.86 = 6,008.64 : x
  2. Step 2: Convert to fraction form
    10,257.80/14,153.86 = 6,008.64/x
  3. Step 3: Cross multiply
    10,257.80x = 14,153.86 × 6,008.64
  4. Step 4: Simplify right side
    10,257.80x = 85,045,449.35
  5. Step 5: Solve for x
    x = 85,045,449.35/10,257.80
  6. Step 6: Final answer
    x = 8,290.81

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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.