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Finding the Fourth Proportional to 12,870.12, 17,760.42 and 7,281

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Solution

The fourth proportional to 12,870.12, 17,760.42 and 7,281 is: 10,047.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.12 : 17,760.42 = 7,281 : x
  2. Step 2: Convert to fraction form
    12,870.12/17,760.42 = 7,281/x
  3. Step 3: Cross multiply
    12,870.12x = 17,760.42 × 7,281
  4. Step 4: Simplify right side
    12,870.12x = 129,313,618.02
  5. Step 5: Solve for x
    x = 129,313,618.02/12,870.12
  6. Step 6: Final answer
    x = 10,047.58

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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.