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Finding the Fourth Proportional to 12,957.36, 17,877.98 and 7,291

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Solution

The fourth proportional to 12,957.36, 17,877.98 and 7,291 is: 10,059.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.36 : 17,877.98 = 7,291 : x
  2. Step 2: Convert to fraction form
    12,957.36/17,877.98 = 7,291/x
  3. Step 3: Cross multiply
    12,957.36x = 17,877.98 × 7,291
  4. Step 4: Simplify right side
    12,957.36x = 130,348,352.18
  5. Step 5: Solve for x
    x = 130,348,352.18/12,957.36
  6. Step 6: Final answer
    x = 10,059.79

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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.