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Finding the Fourth Proportional to 10,114.46, 15,178.52 and 3,540.70

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Solution

The fourth proportional to 10,114.46, 15,178.52 and 3,540.70 is: 5,313.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.46 : 15,178.52 = 3,540.70 : x
  2. Step 2: Convert to fraction form
    10,114.46/15,178.52 = 3,540.70/x
  3. Step 3: Cross multiply
    10,114.46x = 15,178.52 × 3,540.70
  4. Step 4: Simplify right side
    10,114.46x = 53,742,585.76
  5. Step 5: Solve for x
    x = 53,742,585.76/10,114.46
  6. Step 6: Final answer
    x = 5,313.44

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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.