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Finding the Fourth Proportional to 7,949.63, 10,971 and 4,592.59

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Solution

The fourth proportional to 7,949.63, 10,971 and 4,592.59 is: 6,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.63 : 10,971 = 4,592.59 : x
  2. Step 2: Convert to fraction form
    7,949.63/10,971 = 4,592.59/x
  3. Step 3: Cross multiply
    7,949.63x = 10,971 × 4,592.59
  4. Step 4: Simplify right side
    7,949.63x = 50,385,250.04
  5. Step 5: Solve for x
    x = 50,385,250.04/7,949.63
  6. Step 6: Final answer
    x = 6,338.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.