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Finding the Fourth Proportional to 11,007.09, 15,165.63 and 7,464.15

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Solution

The fourth proportional to 11,007.09, 15,165.63 and 7,464.15 is: 10,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.09 : 15,165.63 = 7,464.15 : x
  2. Step 2: Convert to fraction form
    11,007.09/15,165.63 = 7,464.15/x
  3. Step 3: Cross multiply
    11,007.09x = 15,165.63 × 7,464.15
  4. Step 4: Simplify right side
    11,007.09x = 113,198,537.16
  5. Step 5: Solve for x
    x = 113,198,537.16/11,007.09
  6. Step 6: Final answer
    x = 10,284.15

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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.