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Finding the Fourth Proportional to 7,007.18, 9,665.31 and 4,212.68

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Solution

The fourth proportional to 7,007.18, 9,665.31 and 4,212.68 is: 5,810.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007.18 : 9,665.31 = 4,212.68 : x
  2. Step 2: Convert to fraction form
    7,007.18/9,665.31 = 4,212.68/x
  3. Step 3: Cross multiply
    7,007.18x = 9,665.31 × 4,212.68
  4. Step 4: Simplify right side
    7,007.18x = 40,716,858.13
  5. Step 5: Solve for x
    x = 40,716,858.13/7,007.18
  6. Step 6: Final answer
    x = 5,810.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.