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Finding the Fourth Proportional to 7,678.45, 11,500.66 and 6,267.43

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Solution

The fourth proportional to 7,678.45, 11,500.66 and 6,267.43 is: 9,387.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.45 : 11,500.66 = 6,267.43 : x
  2. Step 2: Convert to fraction form
    7,678.45/11,500.66 = 6,267.43/x
  3. Step 3: Cross multiply
    7,678.45x = 11,500.66 × 6,267.43
  4. Step 4: Simplify right side
    7,678.45x = 72,079,581.50
  5. Step 5: Solve for x
    x = 72,079,581.50/7,678.45
  6. Step 6: Final answer
    x = 9,387.26

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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.