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Finding the Fourth Proportional to 7,201.78, 10,802.76 and 2,007.34

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Solution

The fourth proportional to 7,201.78, 10,802.76 and 2,007.34 is: 3,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.78 : 10,802.76 = 2,007.34 : x
  2. Step 2: Convert to fraction form
    7,201.78/10,802.76 = 2,007.34/x
  3. Step 3: Cross multiply
    7,201.78x = 10,802.76 × 2,007.34
  4. Step 4: Simplify right side
    7,201.78x = 21,684,812.26
  5. Step 5: Solve for x
    x = 21,684,812.26/7,201.78
  6. Step 6: Final answer
    x = 3,011.04

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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.