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Finding the Fourth Proportional to 13,799.28, 19,040.04 and 7,830.48

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Solution

The fourth proportional to 13,799.28, 19,040.04 and 7,830.48 is: 10,804.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,799.28 : 19,040.04 = 7,830.48 : x
  2. Step 2: Convert to fraction form
    13,799.28/19,040.04 = 7,830.48/x
  3. Step 3: Cross multiply
    13,799.28x = 19,040.04 × 7,830.48
  4. Step 4: Simplify right side
    13,799.28x = 149,092,652.42
  5. Step 5: Solve for x
    x = 149,092,652.42/13,799.28
  6. Step 6: Final answer
    x = 10,804.38

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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.