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Finding the Fourth Proportional to 10,167.70, 15,245.53 and 3,145.64

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Solution

The fourth proportional to 10,167.70, 15,245.53 and 3,145.64 is: 4,716.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,167.70 : 15,245.53 = 3,145.64 : x
  2. Step 2: Convert to fraction form
    10,167.70/15,245.53 = 3,145.64/x
  3. Step 3: Cross multiply
    10,167.70x = 15,245.53 × 3,145.64
  4. Step 4: Simplify right side
    10,167.70x = 47,956,948.99
  5. Step 5: Solve for x
    x = 47,956,948.99/10,167.70
  6. Step 6: Final answer
    x = 4,716.60

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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.