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Finding the Fourth Proportional to 10,310.66, 15,465.97 and 2,519.47

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Solution

The fourth proportional to 10,310.66, 15,465.97 and 2,519.47 is: 3,779.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.66 : 15,465.97 = 2,519.47 : x
  2. Step 2: Convert to fraction form
    10,310.66/15,465.97 = 2,519.47/x
  3. Step 3: Cross multiply
    10,310.66x = 15,465.97 × 2,519.47
  4. Step 4: Simplify right side
    10,310.66x = 38,965,957.51
  5. Step 5: Solve for x
    x = 38,965,957.51/10,310.66
  6. Step 6: Final answer
    x = 3,779.19

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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.