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Finding the Fourth Proportional to 10,574.03, 15,863.48 and 3,178.63

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Solution

The fourth proportional to 10,574.03, 15,863.48 and 3,178.63 is: 4,768.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,574.03 : 15,863.48 = 3,178.63 : x
  2. Step 2: Convert to fraction form
    10,574.03/15,863.48 = 3,178.63/x
  3. Step 3: Cross multiply
    10,574.03x = 15,863.48 × 3,178.63
  4. Step 4: Simplify right side
    10,574.03x = 50,424,133.43
  5. Step 5: Solve for x
    x = 50,424,133.43/10,574.03
  6. Step 6: Final answer
    x = 4,768.68

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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.