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Finding the Fourth Proportional to 13,797.62, 19,040.80 and 7,510

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Solution

The fourth proportional to 13,797.62, 19,040.80 and 7,510 is: 10,363.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.62 : 19,040.80 = 7,510 : x
  2. Step 2: Convert to fraction form
    13,797.62/19,040.80 = 7,510/x
  3. Step 3: Cross multiply
    13,797.62x = 19,040.80 × 7,510
  4. Step 4: Simplify right side
    13,797.62x = 142,996,408
  5. Step 5: Solve for x
    x = 142,996,408/13,797.62
  6. Step 6: Final answer
    x = 10,363.85

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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.