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Finding the Fourth Proportional to 10,315.68, 15,473.36 and 2,524.32

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Solution

The fourth proportional to 10,315.68, 15,473.36 and 2,524.32 is: 3,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315.68 : 15,473.36 = 2,524.32 : x
  2. Step 2: Convert to fraction form
    10,315.68/15,473.36 = 2,524.32/x
  3. Step 3: Cross multiply
    10,315.68x = 15,473.36 × 2,524.32
  4. Step 4: Simplify right side
    10,315.68x = 39,059,712.12
  5. Step 5: Solve for x
    x = 39,059,712.12/10,315.68
  6. Step 6: Final answer
    x = 3,786.44

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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.