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Finding the Fourth Proportional to 8,509.14, 12,765.08 and 2,964.06

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Solution

The fourth proportional to 8,509.14, 12,765.08 and 2,964.06 is: 4,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.14 : 12,765.08 = 2,964.06 : x
  2. Step 2: Convert to fraction form
    8,509.14/12,765.08 = 2,964.06/x
  3. Step 3: Cross multiply
    8,509.14x = 12,765.08 × 2,964.06
  4. Step 4: Simplify right side
    8,509.14x = 37,836,463.02
  5. Step 5: Solve for x
    x = 37,836,463.02/8,509.14
  6. Step 6: Final answer
    x = 4,446.57

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Why These Related Problems?

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