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Finding the Fourth Proportional to 8,476.88, 12,696.90 and 4,777.16

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Solution

The fourth proportional to 8,476.88, 12,696.90 and 4,777.16 is: 7,155.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.88 : 12,696.90 = 4,777.16 : x
  2. Step 2: Convert to fraction form
    8,476.88/12,696.90 = 4,777.16/x
  3. Step 3: Cross multiply
    8,476.88x = 12,696.90 × 4,777.16
  4. Step 4: Simplify right side
    8,476.88x = 60,655,122.80
  5. Step 5: Solve for x
    x = 60,655,122.80/8,476.88
  6. Step 6: Final answer
    x = 7,155.36

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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.