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Finding the Fourth Proportional to 12,075.52, 16,627.56 and 10,711.52

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Solution

The fourth proportional to 12,075.52, 16,627.56 and 10,711.52 is: 14,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.52 : 16,627.56 = 10,711.52 : x
  2. Step 2: Convert to fraction form
    12,075.52/16,627.56 = 10,711.52/x
  3. Step 3: Cross multiply
    12,075.52x = 16,627.56 × 10,711.52
  4. Step 4: Simplify right side
    12,075.52x = 178,106,441.49
  5. Step 5: Solve for x
    x = 178,106,441.49/12,075.52
  6. Step 6: Final answer
    x = 14,749.38

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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.