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Finding the Fourth Proportional to 7,284.80, 10,928.56 and 2,353.96

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Solution

The fourth proportional to 7,284.80, 10,928.56 and 2,353.96 is: 3,531.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.80 : 10,928.56 = 2,353.96 : x
  2. Step 2: Convert to fraction form
    7,284.80/10,928.56 = 2,353.96/x
  3. Step 3: Cross multiply
    7,284.80x = 10,928.56 × 2,353.96
  4. Step 4: Simplify right side
    7,284.80x = 25,725,393.10
  5. Step 5: Solve for x
    x = 25,725,393.10/7,284.80
  6. Step 6: Final answer
    x = 3,531.38

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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.