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Finding the Fourth Proportional to 12,870, 17,760.48 and 7,281

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Solution

The fourth proportional to 12,870, 17,760.48 and 7,281 is: 10,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870 : 17,760.48 = 7,281 : x
  2. Step 2: Convert to fraction form
    12,870/17,760.48 = 7,281/x
  3. Step 3: Cross multiply
    12,870x = 17,760.48 × 7,281
  4. Step 4: Simplify right side
    12,870x = 129,314,054.88
  5. Step 5: Solve for x
    x = 129,314,054.88/12,870
  6. Step 6: Final answer
    x = 10,047.71

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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.