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Finding the Fourth Proportional to 12,957.34, 17,882.10 and 7,293.02

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Solution

The fourth proportional to 12,957.34, 17,882.10 and 7,293.02 is: 10,064.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,957.34 : 17,882.10 = 7,293.02 : x
  2. Step 2: Convert to fraction form
    12,957.34/17,882.10 = 7,293.02/x
  3. Step 3: Cross multiply
    12,957.34x = 17,882.10 × 7,293.02
  4. Step 4: Simplify right side
    12,957.34x = 130,414,512.94
  5. Step 5: Solve for x
    x = 130,414,512.94/12,957.34
  6. Step 6: Final answer
    x = 10,064.91

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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.