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Finding the Fourth Proportional to 13,076.40, 18,044.32 and 7,772.48

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Solution

The fourth proportional to 13,076.40, 18,044.32 and 7,772.48 is: 10,725.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.40 : 18,044.32 = 7,772.48 : x
  2. Step 2: Convert to fraction form
    13,076.40/18,044.32 = 7,772.48/x
  3. Step 3: Cross multiply
    13,076.40x = 18,044.32 × 7,772.48
  4. Step 4: Simplify right side
    13,076.40x = 140,249,116.31
  5. Step 5: Solve for x
    x = 140,249,116.31/13,076.40
  6. Step 6: Final answer
    x = 10,725.36

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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.