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Finding the Fourth Proportional to 7,287.20, 10,907.76 and 5,200.48

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Solution

The fourth proportional to 7,287.20, 10,907.76 and 5,200.48 is: 7,784.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,287.20 : 10,907.76 = 5,200.48 : x
  2. Step 2: Convert to fraction form
    7,287.20/10,907.76 = 5,200.48/x
  3. Step 3: Cross multiply
    7,287.20x = 10,907.76 × 5,200.48
  4. Step 4: Simplify right side
    7,287.20x = 56,725,587.72
  5. Step 5: Solve for x
    x = 56,725,587.72/7,287.20
  6. Step 6: Final answer
    x = 7,784.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.