Home / 10,746.24-16,112.16-8,112

Finding the Fourth Proportional to 10,746.24, 16,112.16 and 8,112

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Solution

The fourth proportional to 10,746.24, 16,112.16 and 8,112 is: 12,162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746.24 : 16,112.16 = 8,112 : x
  2. Step 2: Convert to fraction form
    10,746.24/16,112.16 = 8,112/x
  3. Step 3: Cross multiply
    10,746.24x = 16,112.16 × 8,112
  4. Step 4: Simplify right side
    10,746.24x = 130,701,841.92
  5. Step 5: Solve for x
    x = 130,701,841.92/10,746.24
  6. Step 6: Final answer
    x = 12,162.56

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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.