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Finding the Fourth Proportional to 12,077.64, 16,664.88 and 7,774.52

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Solution

The fourth proportional to 12,077.64, 16,664.88 and 7,774.52 is: 10,727.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,077.64 : 16,664.88 = 7,774.52 : x
  2. Step 2: Convert to fraction form
    12,077.64/16,664.88 = 7,774.52/x
  3. Step 3: Cross multiply
    12,077.64x = 16,664.88 × 7,774.52
  4. Step 4: Simplify right side
    12,077.64x = 129,561,442.86
  5. Step 5: Solve for x
    x = 129,561,442.86/12,077.64
  6. Step 6: Final answer
    x = 10,727.38

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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.