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Finding the Fourth Proportional to 6,911.72, 10,354.78 and 4,315.88

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Solution

The fourth proportional to 6,911.72, 10,354.78 and 4,315.88 is: 6,465.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.72 : 10,354.78 = 4,315.88 : x
  2. Step 2: Convert to fraction form
    6,911.72/10,354.78 = 4,315.88/x
  3. Step 3: Cross multiply
    6,911.72x = 10,354.78 × 4,315.88
  4. Step 4: Simplify right side
    6,911.72x = 44,689,987.91
  5. Step 5: Solve for x
    x = 44,689,987.91/6,911.72
  6. Step 6: Final answer
    x = 6,465.83

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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.