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Finding the Fourth Proportional to 6,788.52, 10,176.50 and 4,709.49

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Solution

The fourth proportional to 6,788.52, 10,176.50 and 4,709.49 is: 7,059.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,788.52 : 10,176.50 = 4,709.49 : x
  2. Step 2: Convert to fraction form
    6,788.52/10,176.50 = 4,709.49/x
  3. Step 3: Cross multiply
    6,788.52x = 10,176.50 × 4,709.49
  4. Step 4: Simplify right side
    6,788.52x = 47,926,124.99
  5. Step 5: Solve for x
    x = 47,926,124.99/6,788.52
  6. Step 6: Final answer
    x = 7,059.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.