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Finding the Fourth Proportional to 8,653.75, 12,982.25 and 4,036.75

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Solution

The fourth proportional to 8,653.75, 12,982.25 and 4,036.75 is: 6,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,653.75 : 12,982.25 = 4,036.75 : x
  2. Step 2: Convert to fraction form
    8,653.75/12,982.25 = 4,036.75/x
  3. Step 3: Cross multiply
    8,653.75x = 12,982.25 × 4,036.75
  4. Step 4: Simplify right side
    8,653.75x = 52,406,097.69
  5. Step 5: Solve for x
    x = 52,406,097.69/8,653.75
  6. Step 6: Final answer
    x = 6,055.88

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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.