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Finding the Fourth Proportional to 8,459.82, 12,702 and 6,007.68

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Solution

The fourth proportional to 8,459.82, 12,702 and 6,007.68 is: 9,020.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.82 : 12,702 = 6,007.68 : x
  2. Step 2: Convert to fraction form
    8,459.82/12,702 = 6,007.68/x
  3. Step 3: Cross multiply
    8,459.82x = 12,702 × 6,007.68
  4. Step 4: Simplify right side
    8,459.82x = 76,309,551.36
  5. Step 5: Solve for x
    x = 76,309,551.36/8,459.82
  6. Step 6: Final answer
    x = 9,020.23

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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.