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Finding the Fourth Proportional to 12,875, 17,768.60 and 7,287.08

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Solution

The fourth proportional to 12,875, 17,768.60 and 7,287.08 is: 10,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,875 : 17,768.60 = 7,287.08 : x
  2. Step 2: Convert to fraction form
    12,875/17,768.60 = 7,287.08/x
  3. Step 3: Cross multiply
    12,875x = 17,768.60 × 7,287.08
  4. Step 4: Simplify right side
    12,875x = 129,481,209.69
  5. Step 5: Solve for x
    x = 129,481,209.69/12,875
  6. Step 6: Final answer
    x = 10,056.79

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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.