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Finding the Fourth Proportional to 10,714.41, 14,788.24 and 6,239.05

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Solution

The fourth proportional to 10,714.41, 14,788.24 and 6,239.05 is: 8,611.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.41 : 14,788.24 = 6,239.05 : x
  2. Step 2: Convert to fraction form
    10,714.41/14,788.24 = 6,239.05/x
  3. Step 3: Cross multiply
    10,714.41x = 14,788.24 × 6,239.05
  4. Step 4: Simplify right side
    10,714.41x = 92,264,516.20
  5. Step 5: Solve for x
    x = 92,264,516.20/10,714.41
  6. Step 6: Final answer
    x = 8,611.25

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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.