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Finding the Fourth Proportional to 7,865.71, 11,802.62 and 7,308.03

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Solution

The fourth proportional to 7,865.71, 11,802.62 and 7,308.03 is: 10,965.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.71 : 11,802.62 = 7,308.03 : x
  2. Step 2: Convert to fraction form
    7,865.71/11,802.62 = 7,308.03/x
  3. Step 3: Cross multiply
    7,865.71x = 11,802.62 × 7,308.03
  4. Step 4: Simplify right side
    7,865.71x = 86,253,901.04
  5. Step 5: Solve for x
    x = 86,253,901.04/7,865.71
  6. Step 6: Final answer
    x = 10,965.81

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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.