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Finding the Fourth Proportional to 7,295.74, 10,943.49 and 2,101.60

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Solution

The fourth proportional to 7,295.74, 10,943.49 and 2,101.60 is: 3,152.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,295.74 : 10,943.49 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    7,295.74/10,943.49 = 2,101.60/x
  3. Step 3: Cross multiply
    7,295.74x = 10,943.49 × 2,101.60
  4. Step 4: Simplify right side
    7,295.74x = 22,998,838.58
  5. Step 5: Solve for x
    x = 22,998,838.58/7,295.74
  6. Step 6: Final answer
    x = 3,152.37

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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.