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Finding the Fourth Proportional to 7,007.82, 10,508.40 and 4,086.96

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Solution

The fourth proportional to 7,007.82, 10,508.40 and 4,086.96 is: 6,128.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.82 : 10,508.40 = 4,086.96 : x
  2. Step 2: Convert to fraction form
    7,007.82/10,508.40 = 4,086.96/x
  3. Step 3: Cross multiply
    7,007.82x = 10,508.40 × 4,086.96
  4. Step 4: Simplify right side
    7,007.82x = 42,947,410.46
  5. Step 5: Solve for x
    x = 42,947,410.46/7,007.82
  6. Step 6: Final answer
    x = 6,128.50

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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.