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Finding the Fourth Proportional to 8,476.56, 12,707.64 and 4,097.16

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Solution

The fourth proportional to 8,476.56, 12,707.64 and 4,097.16 is: 6,142.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.56 : 12,707.64 = 4,097.16 : x
  2. Step 2: Convert to fraction form
    8,476.56/12,707.64 = 4,097.16/x
  3. Step 3: Cross multiply
    8,476.56x = 12,707.64 × 4,097.16
  4. Step 4: Simplify right side
    8,476.56x = 52,065,234.30
  5. Step 5: Solve for x
    x = 52,065,234.30/8,476.56
  6. Step 6: Final answer
    x = 6,142.26

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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.