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Finding the Fourth Proportional to 8,694.63, 12,008.43 and 5,857.08

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Solution

The fourth proportional to 8,694.63, 12,008.43 and 5,857.08 is: 8,089.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.63 : 12,008.43 = 5,857.08 : x
  2. Step 2: Convert to fraction form
    8,694.63/12,008.43 = 5,857.08/x
  3. Step 3: Cross multiply
    8,694.63x = 12,008.43 × 5,857.08
  4. Step 4: Simplify right side
    8,694.63x = 70,334,335.18
  5. Step 5: Solve for x
    x = 70,334,335.18/8,694.63
  6. Step 6: Final answer
    x = 8,089.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.