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Finding the Fourth Proportional to 10,191.15, 14,063.64 and 5,714.88

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Solution

The fourth proportional to 10,191.15, 14,063.64 and 5,714.88 is: 7,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,191.15 : 14,063.64 = 5,714.88 : x
  2. Step 2: Convert to fraction form
    10,191.15/14,063.64 = 5,714.88/x
  3. Step 3: Cross multiply
    10,191.15x = 14,063.64 × 5,714.88
  4. Step 4: Simplify right side
    10,191.15x = 80,372,014.96
  5. Step 5: Solve for x
    x = 80,372,014.96/10,191.15
  6. Step 6: Final answer
    x = 7,886.45

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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.