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Finding the Fourth Proportional to 7,265.81, 10,900.20 and 2,335.34

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Solution

The fourth proportional to 7,265.81, 10,900.20 and 2,335.34 is: 3,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.81 : 10,900.20 = 2,335.34 : x
  2. Step 2: Convert to fraction form
    7,265.81/10,900.20 = 2,335.34/x
  3. Step 3: Cross multiply
    7,265.81x = 10,900.20 × 2,335.34
  4. Step 4: Simplify right side
    7,265.81x = 25,455,673.07
  5. Step 5: Solve for x
    x = 25,455,673.07/7,265.81
  6. Step 6: Final answer
    x = 3,503.49

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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.