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Finding the Fourth Proportional to 7,200.76, 10,801.14 and 2,006.50

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Solution

The fourth proportional to 7,200.76, 10,801.14 and 2,006.50 is: 3,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,200.76 : 10,801.14 = 2,006.50 : x
  2. Step 2: Convert to fraction form
    7,200.76/10,801.14 = 2,006.50/x
  3. Step 3: Cross multiply
    7,200.76x = 10,801.14 × 2,006.50
  4. Step 4: Simplify right side
    7,200.76x = 21,672,487.41
  5. Step 5: Solve for x
    x = 21,672,487.41/7,200.76
  6. Step 6: Final answer
    x = 3,009.75

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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.