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Finding the Fourth Proportional to 12,697.88, 19,065 and 7,777.28

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Solution

The fourth proportional to 12,697.88, 19,065 and 7,777.28 is: 11,677.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,697.88 : 19,065 = 7,777.28 : x
  2. Step 2: Convert to fraction form
    12,697.88/19,065 = 7,777.28/x
  3. Step 3: Cross multiply
    12,697.88x = 19,065 × 7,777.28
  4. Step 4: Simplify right side
    12,697.88x = 148,273,843.20
  5. Step 5: Solve for x
    x = 148,273,843.20/12,697.88
  6. Step 6: Final answer
    x = 11,677.06

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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.