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Finding the Fourth Proportional to 10,714.04, 14,770.15 and 7,876.41

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Solution

The fourth proportional to 10,714.04, 14,770.15 and 7,876.41 is: 10,858.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,714.04 : 14,770.15 = 7,876.41 : x
  2. Step 2: Convert to fraction form
    10,714.04/14,770.15 = 7,876.41/x
  3. Step 3: Cross multiply
    10,714.04x = 14,770.15 × 7,876.41
  4. Step 4: Simplify right side
    10,714.04x = 116,335,757.16
  5. Step 5: Solve for x
    x = 116,335,757.16/10,714.04
  6. Step 6: Final answer
    x = 10,858.25

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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.