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Finding the Fourth Proportional to 7,268.75, 10,907.07 and 5,628.50

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Solution

The fourth proportional to 7,268.75, 10,907.07 and 5,628.50 is: 8,445.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,268.75 : 10,907.07 = 5,628.50 : x
  2. Step 2: Convert to fraction form
    7,268.75/10,907.07 = 5,628.50/x
  3. Step 3: Cross multiply
    7,268.75x = 10,907.07 × 5,628.50
  4. Step 4: Simplify right side
    7,268.75x = 61,390,415.35
  5. Step 5: Solve for x
    x = 61,390,415.35/7,268.75
  6. Step 6: Final answer
    x = 8,445.80

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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.