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Finding the Fourth Proportional to 27,273, 40,907.30 and 7,551.92

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Solution

The fourth proportional to 27,273, 40,907.30 and 7,551.92 is: 11,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273 : 40,907.30 = 7,551.92 : x
  2. Step 2: Convert to fraction form
    27,273/40,907.30 = 7,551.92/x
  3. Step 3: Cross multiply
    27,273x = 40,907.30 × 7,551.92
  4. Step 4: Simplify right side
    27,273x = 308,928,657.02
  5. Step 5: Solve for x
    x = 308,928,657.02/27,273
  6. Step 6: Final answer
    x = 11,327.27

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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.