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Finding the Fourth Proportional to 8,452, 11,663.76 and 4,726

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Solution

The fourth proportional to 8,452, 11,663.76 and 4,726 is: 6,521.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452 : 11,663.76 = 4,726 : x
  2. Step 2: Convert to fraction form
    8,452/11,663.76 = 4,726/x
  3. Step 3: Cross multiply
    8,452x = 11,663.76 × 4,726
  4. Step 4: Simplify right side
    8,452x = 55,122,929.76
  5. Step 5: Solve for x
    x = 55,122,929.76/8,452
  6. Step 6: Final answer
    x = 6,521.88

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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.