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Finding the Fourth Proportional to 8,653.66, 12,986.01 and 3,106.89

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Solution

The fourth proportional to 8,653.66, 12,986.01 and 3,106.89 is: 4,662.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.66 : 12,986.01 = 3,106.89 : x
  2. Step 2: Convert to fraction form
    8,653.66/12,986.01 = 3,106.89/x
  3. Step 3: Cross multiply
    8,653.66x = 12,986.01 × 3,106.89
  4. Step 4: Simplify right side
    8,653.66x = 40,346,104.61
  5. Step 5: Solve for x
    x = 40,346,104.61/8,653.66
  6. Step 6: Final answer
    x = 4,662.32

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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.