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Finding the Fourth Proportional to 7,265.25, 10,027.87 and 4,280.00

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Solution

The fourth proportional to 7,265.25, 10,027.87 and 4,280.00 is: 5,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,265.25 : 10,027.87 = 4,280.00 : x
  2. Step 2: Convert to fraction form
    7,265.25/10,027.87 = 4,280.00/x
  3. Step 3: Cross multiply
    7,265.25x = 10,027.87 × 4,280.00
  4. Step 4: Simplify right side
    7,265.25x = 42,919,222.76
  5. Step 5: Solve for x
    x = 42,919,222.76/7,265.25
  6. Step 6: Final answer
    x = 5,907.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.