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Finding the Fourth Proportional to 7,789.60, 11,681.61 and 3,891.34

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Solution

The fourth proportional to 7,789.60, 11,681.61 and 3,891.34 is: 5,835.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,789.60 : 11,681.61 = 3,891.34 : x
  2. Step 2: Convert to fraction form
    7,789.60/11,681.61 = 3,891.34/x
  3. Step 3: Cross multiply
    7,789.60x = 11,681.61 × 3,891.34
  4. Step 4: Simplify right side
    7,789.60x = 45,457,116.26
  5. Step 5: Solve for x
    x = 45,457,116.26/7,789.60
  6. Step 6: Final answer
    x = 5,835.62

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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.