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Finding the Fourth Proportional to 8,674.88, 11,971.28 and 4,696

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Solution

The fourth proportional to 8,674.88, 11,971.28 and 4,696 is: 6,480.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,674.88 : 11,971.28 = 4,696 : x
  2. Step 2: Convert to fraction form
    8,674.88/11,971.28 = 4,696/x
  3. Step 3: Cross multiply
    8,674.88x = 11,971.28 × 4,696
  4. Step 4: Simplify right side
    8,674.88x = 56,217,130.88
  5. Step 5: Solve for x
    x = 56,217,130.88/8,674.88
  6. Step 6: Final answer
    x = 6,480.45

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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.