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Finding the Fourth Proportional to 7,802.81, 11,705.38 and 2,872.07

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Solution

The fourth proportional to 7,802.81, 11,705.38 and 2,872.07 is: 4,308.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.81 : 11,705.38 = 2,872.07 : x
  2. Step 2: Convert to fraction form
    7,802.81/11,705.38 = 2,872.07/x
  3. Step 3: Cross multiply
    7,802.81x = 11,705.38 × 2,872.07
  4. Step 4: Simplify right side
    7,802.81x = 33,618,730.92
  5. Step 5: Solve for x
    x = 33,618,730.92/7,802.81
  6. Step 6: Final answer
    x = 4,308.54

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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.