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Finding the Fourth Proportional to 7,802.31, 11,701.04 and 2,606.97

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Solution

The fourth proportional to 7,802.31, 11,701.04 and 2,606.97 is: 3,909.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.31 : 11,701.04 = 2,606.97 : x
  2. Step 2: Convert to fraction form
    7,802.31/11,701.04 = 2,606.97/x
  3. Step 3: Cross multiply
    7,802.31x = 11,701.04 × 2,606.97
  4. Step 4: Simplify right side
    7,802.31x = 30,504,247.21
  5. Step 5: Solve for x
    x = 30,504,247.21/7,802.31
  6. Step 6: Final answer
    x = 3,909.64

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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.