Home / 11,617.20-16,031.73-6,312

Finding the Fourth Proportional to 11,617.20, 16,031.73 and 6,312

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Solution

The fourth proportional to 11,617.20, 16,031.73 and 6,312 is: 8,710.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,617.20 : 16,031.73 = 6,312 : x
  2. Step 2: Convert to fraction form
    11,617.20/16,031.73 = 6,312/x
  3. Step 3: Cross multiply
    11,617.20x = 16,031.73 × 6,312
  4. Step 4: Simplify right side
    11,617.20x = 101,192,279.76
  5. Step 5: Solve for x
    x = 101,192,279.76/11,617.20
  6. Step 6: Final answer
    x = 8,710.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.