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Finding the Fourth Proportional to 10,475.96, 15,716.43 and 3,080.66

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Solution

The fourth proportional to 10,475.96, 15,716.43 and 3,080.66 is: 4,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.96 : 15,716.43 = 3,080.66 : x
  2. Step 2: Convert to fraction form
    10,475.96/15,716.43 = 3,080.66/x
  3. Step 3: Cross multiply
    10,475.96x = 15,716.43 × 3,080.66
  4. Step 4: Simplify right side
    10,475.96x = 48,416,898.66
  5. Step 5: Solve for x
    x = 48,416,898.66/10,475.96
  6. Step 6: Final answer
    x = 4,621.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.