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Finding the Fourth Proportional to 7,007.83, 10,509.44 and 2,564.48

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Solution

The fourth proportional to 7,007.83, 10,509.44 and 2,564.48 is: 3,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.83 : 10,509.44 = 2,564.48 : x
  2. Step 2: Convert to fraction form
    7,007.83/10,509.44 = 2,564.48/x
  3. Step 3: Cross multiply
    7,007.83x = 10,509.44 × 2,564.48
  4. Step 4: Simplify right side
    7,007.83x = 26,951,262.14
  5. Step 5: Solve for x
    x = 26,951,262.14/7,007.83
  6. Step 6: Final answer
    x = 3,845.88

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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.