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Finding the Fourth Proportional to 10,260.14, 15,390.14 and 2,864.60

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Solution

The fourth proportional to 10,260.14, 15,390.14 and 2,864.60 is: 4,296.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.14 : 15,390.14 = 2,864.60 : x
  2. Step 2: Convert to fraction form
    10,260.14/15,390.14 = 2,864.60/x
  3. Step 3: Cross multiply
    10,260.14x = 15,390.14 × 2,864.60
  4. Step 4: Simplify right side
    10,260.14x = 44,086,595.04
  5. Step 5: Solve for x
    x = 44,086,595.04/10,260.14
  6. Step 6: Final answer
    x = 4,296.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.