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Finding the Fourth Proportional to 8,510.13, 12,765.81 and 2,270.10

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Solution

The fourth proportional to 8,510.13, 12,765.81 and 2,270.10 is: 3,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.13 : 12,765.81 = 2,270.10 : x
  2. Step 2: Convert to fraction form
    8,510.13/12,765.81 = 2,270.10/x
  3. Step 3: Cross multiply
    8,510.13x = 12,765.81 × 2,270.10
  4. Step 4: Simplify right side
    8,510.13x = 28,979,665.28
  5. Step 5: Solve for x
    x = 28,979,665.28/8,510.13
  6. Step 6: Final answer
    x = 3,405.31

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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.