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Finding the Fourth Proportional to 10,310.76, 15,465.99 and 2,519.64

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Solution

The fourth proportional to 10,310.76, 15,465.99 and 2,519.64 is: 3,779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.76 : 15,465.99 = 2,519.64 : x
  2. Step 2: Convert to fraction form
    10,310.76/15,465.99 = 2,519.64/x
  3. Step 3: Cross multiply
    10,310.76x = 15,465.99 × 2,519.64
  4. Step 4: Simplify right side
    10,310.76x = 38,968,727.04
  5. Step 5: Solve for x
    x = 38,968,727.04/10,310.76
  6. Step 6: Final answer
    x = 3,779.42

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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.