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Finding the Fourth Proportional to 10,420.76, 14,380.26 and 5,705

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Solution

The fourth proportional to 10,420.76, 14,380.26 and 5,705 is: 7,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.76 : 14,380.26 = 5,705 : x
  2. Step 2: Convert to fraction form
    10,420.76/14,380.26 = 5,705/x
  3. Step 3: Cross multiply
    10,420.76x = 14,380.26 × 5,705
  4. Step 4: Simplify right side
    10,420.76x = 82,039,383.30
  5. Step 5: Solve for x
    x = 82,039,383.30/10,420.76
  6. Step 6: Final answer
    x = 7,872.69

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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.