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Finding the Fourth Proportional to 10,678.12, 16,017.18 and 3,751

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Solution

The fourth proportional to 10,678.12, 16,017.18 and 3,751 is: 5,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678.12 : 16,017.18 = 3,751 : x
  2. Step 2: Convert to fraction form
    10,678.12/16,017.18 = 3,751/x
  3. Step 3: Cross multiply
    10,678.12x = 16,017.18 × 3,751
  4. Step 4: Simplify right side
    10,678.12x = 60,080,442.18
  5. Step 5: Solve for x
    x = 60,080,442.18/10,678.12
  6. Step 6: Final answer
    x = 5,626.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.