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Finding the Fourth Proportional to 8,674.65, 11,971.02 and 4,695.75

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Solution

The fourth proportional to 8,674.65, 11,971.02 and 4,695.75 is: 6,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.65 : 11,971.02 = 4,695.75 : x
  2. Step 2: Convert to fraction form
    8,674.65/11,971.02 = 4,695.75/x
  3. Step 3: Cross multiply
    8,674.65x = 11,971.02 × 4,695.75
  4. Step 4: Simplify right side
    8,674.65x = 56,212,833.83
  5. Step 5: Solve for x
    x = 56,212,833.83/8,674.65
  6. Step 6: Final answer
    x = 6,480.13

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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.