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Finding the Fourth Proportional to 7,264.50, 10,896.89 and 2,070.51

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Solution

The fourth proportional to 7,264.50, 10,896.89 and 2,070.51 is: 3,105.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,264.50 : 10,896.89 = 2,070.51 : x
  2. Step 2: Convert to fraction form
    7,264.50/10,896.89 = 2,070.51/x
  3. Step 3: Cross multiply
    7,264.50x = 10,896.89 × 2,070.51
  4. Step 4: Simplify right side
    7,264.50x = 22,562,109.36
  5. Step 5: Solve for x
    x = 22,562,109.36/7,264.50
  6. Step 6: Final answer
    x = 3,105.80

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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.