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Finding the Fourth Proportional to 8,579.64, 12,852.80 and 6,324.07

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Solution

The fourth proportional to 8,579.64, 12,852.80 and 6,324.07 is: 9,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,579.64 : 12,852.80 = 6,324.07 : x
  2. Step 2: Convert to fraction form
    8,579.64/12,852.80 = 6,324.07/x
  3. Step 3: Cross multiply
    8,579.64x = 12,852.80 × 6,324.07
  4. Step 4: Simplify right side
    8,579.64x = 81,281,991.34
  5. Step 5: Solve for x
    x = 81,281,991.34/8,579.64
  6. Step 6: Final answer
    x = 9,473.82

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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.