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Finding the Fourth Proportional to 10,075.20, 15,104.76 and 3,498

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Solution

The fourth proportional to 10,075.20, 15,104.76 and 3,498 is: 5,244.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.20 : 15,104.76 = 3,498 : x
  2. Step 2: Convert to fraction form
    10,075.20/15,104.76 = 3,498/x
  3. Step 3: Cross multiply
    10,075.20x = 15,104.76 × 3,498
  4. Step 4: Simplify right side
    10,075.20x = 52,836,450.48
  5. Step 5: Solve for x
    x = 52,836,450.48/10,075.20
  6. Step 6: Final answer
    x = 5,244.21

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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.