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Finding the Fourth Proportional to 7,006.57, 10,509.86 and 2,076.28

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Solution

The fourth proportional to 7,006.57, 10,509.86 and 2,076.28 is: 3,114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.57 : 10,509.86 = 2,076.28 : x
  2. Step 2: Convert to fraction form
    7,006.57/10,509.86 = 2,076.28/x
  3. Step 3: Cross multiply
    7,006.57x = 10,509.86 × 2,076.28
  4. Step 4: Simplify right side
    7,006.57x = 21,821,401.74
  5. Step 5: Solve for x
    x = 21,821,401.74/7,006.57
  6. Step 6: Final answer
    x = 3,114.42

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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.