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Finding the Fourth Proportional to 7,682.88, 11,524.32 and 6,312

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Solution

The fourth proportional to 7,682.88, 11,524.32 and 6,312 is: 9,468

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.88 : 11,524.32 = 6,312 : x
  2. Step 2: Convert to fraction form
    7,682.88/11,524.32 = 6,312/x
  3. Step 3: Cross multiply
    7,682.88x = 11,524.32 × 6,312
  4. Step 4: Simplify right side
    7,682.88x = 72,741,507.84
  5. Step 5: Solve for x
    x = 72,741,507.84/7,682.88
  6. Step 6: Final answer
    x = 9,468

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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.