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Finding the Fourth Proportional to 13,797.63, 19,040.63 and 7,510

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Solution

The fourth proportional to 13,797.63, 19,040.63 and 7,510 is: 10,363.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,797.63 : 19,040.63 = 7,510 : x
  2. Step 2: Convert to fraction form
    13,797.63/19,040.63 = 7,510/x
  3. Step 3: Cross multiply
    13,797.63x = 19,040.63 × 7,510
  4. Step 4: Simplify right side
    13,797.63x = 142,995,131.30
  5. Step 5: Solve for x
    x = 142,995,131.30/13,797.63
  6. Step 6: Final answer
    x = 10,363.75

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