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Finding the Fourth Proportional to 8,656, 11,946 and 4,930.72

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Solution

The fourth proportional to 8,656, 11,946 and 4,930.72 is: 6,804.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,656 : 11,946 = 4,930.72 : x
  2. Step 2: Convert to fraction form
    8,656/11,946 = 4,930.72/x
  3. Step 3: Cross multiply
    8,656x = 11,946 × 4,930.72
  4. Step 4: Simplify right side
    8,656x = 58,902,381.12
  5. Step 5: Solve for x
    x = 58,902,381.12/8,656
  6. Step 6: Final answer
    x = 6,804.80

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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.