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Finding the Fourth Proportional to 12,875.12, 17,768.36 and 7,286

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Solution

The fourth proportional to 12,875.12, 17,768.36 and 7,286 is: 10,055.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875.12 : 17,768.36 = 7,286 : x
  2. Step 2: Convert to fraction form
    12,875.12/17,768.36 = 7,286/x
  3. Step 3: Cross multiply
    12,875.12x = 17,768.36 × 7,286
  4. Step 4: Simplify right side
    12,875.12x = 129,460,270.96
  5. Step 5: Solve for x
    x = 129,460,270.96/12,875.12
  6. Step 6: Final answer
    x = 10,055.07

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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.