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Finding the Fourth Proportional to 7,814.07, 11,720.80 and 3,132.68

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Solution

The fourth proportional to 7,814.07, 11,720.80 and 3,132.68 is: 4,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,814.07 : 11,720.80 = 3,132.68 : x
  2. Step 2: Convert to fraction form
    7,814.07/11,720.80 = 3,132.68/x
  3. Step 3: Cross multiply
    7,814.07x = 11,720.80 × 3,132.68
  4. Step 4: Simplify right side
    7,814.07x = 36,717,461.06
  5. Step 5: Solve for x
    x = 36,717,461.06/7,814.07
  6. Step 6: Final answer
    x = 4,698.89

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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.