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Finding the Fourth Proportional to 10,252.90, 15,378.54 and 3,678.40

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Solution

The fourth proportional to 10,252.90, 15,378.54 and 3,678.40 is: 5,517.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252.90 : 15,378.54 = 3,678.40 : x
  2. Step 2: Convert to fraction form
    10,252.90/15,378.54 = 3,678.40/x
  3. Step 3: Cross multiply
    10,252.90x = 15,378.54 × 3,678.40
  4. Step 4: Simplify right side
    10,252.90x = 56,568,421.54
  5. Step 5: Solve for x
    x = 56,568,421.54/10,252.90
  6. Step 6: Final answer
    x = 5,517.31

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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.