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Finding the Fourth Proportional to 7,006.99, 10,512.51 and 2,076.74

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Solution

The fourth proportional to 7,006.99, 10,512.51 and 2,076.74 is: 3,115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.99 : 10,512.51 = 2,076.74 : x
  2. Step 2: Convert to fraction form
    7,006.99/10,512.51 = 2,076.74/x
  3. Step 3: Cross multiply
    7,006.99x = 10,512.51 × 2,076.74
  4. Step 4: Simplify right side
    7,006.99x = 21,831,776.30
  5. Step 5: Solve for x
    x = 21,831,776.30/7,006.99
  6. Step 6: Final answer
    x = 3,115.72

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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.