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Finding the Fourth Proportional to 7,814.68, 11,721.88 and 1,971.28

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Solution

The fourth proportional to 7,814.68, 11,721.88 and 1,971.28 is: 2,956.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.68 : 11,721.88 = 1,971.28 : x
  2. Step 2: Convert to fraction form
    7,814.68/11,721.88 = 1,971.28/x
  3. Step 3: Cross multiply
    7,814.68x = 11,721.88 × 1,971.28
  4. Step 4: Simplify right side
    7,814.68x = 23,107,107.61
  5. Step 5: Solve for x
    x = 23,107,107.61/7,814.68
  6. Step 6: Final answer
    x = 2,956.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.