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Finding the Fourth Proportional to 8,076, 12,115.80 and 3,693.63

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Solution

The fourth proportional to 8,076, 12,115.80 and 3,693.63 is: 5,541.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,076 : 12,115.80 = 3,693.63 : x
  2. Step 2: Convert to fraction form
    8,076/12,115.80 = 3,693.63/x
  3. Step 3: Cross multiply
    8,076x = 12,115.80 × 3,693.63
  4. Step 4: Simplify right side
    8,076x = 44,751,282.35
  5. Step 5: Solve for x
    x = 44,751,282.35/8,076
  6. Step 6: Final answer
    x = 5,541.27

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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.