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Finding the Fourth Proportional to 12,838.36, 17,711.66 and 7,801.78

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Solution

The fourth proportional to 12,838.36, 17,711.66 and 7,801.78 is: 10,763.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.36 : 17,711.66 = 7,801.78 : x
  2. Step 2: Convert to fraction form
    12,838.36/17,711.66 = 7,801.78/x
  3. Step 3: Cross multiply
    12,838.36x = 17,711.66 × 7,801.78
  4. Step 4: Simplify right side
    12,838.36x = 138,182,474.75
  5. Step 5: Solve for x
    x = 138,182,474.75/12,838.36
  6. Step 6: Final answer
    x = 10,763.25

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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.